Relevant bibliographies by topics / Dimension de Gelfand-Kirillov

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Dimension de Gelfand-Kirillov'

Author: Grafiati
Published: 13 July 2024
Last updated: 31 July 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Dimension de Gelfand-Kirillov.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Dimension de Gelfand-Kirillov"

1

Zhang, Yang, and Xiangui Zhao. "Gelfand–Kirillov dimension of differential difference algebras." LMS Journal of Computation and Mathematics 17, no. 1 (2014): 485–95. http://dx.doi.org/10.1112/s1461157014000102.

Full text
Abstract:
AbstractDifferential difference algebras, introduced by Mansfield and Szanto, arose naturally from differential difference equations. In this paper, we investigate the Gelfand–Kirillov dimension of differential difference algebras. We give a lower bound of the Gelfand–Kirillov dimension of a differential difference algebra and a sufficient condition under which the lower bound is reached; we also find an upper bound of this Gelfand–Kirillov dimension under some specific conditions and construct an example to show that this upper bound cannot be sharpened any further.
APA, Harvard, Vancouver, ISO, and other styles
2

BERGEN, JEFFREY, and PIOTR GRZESZCZUK. "GK DIMENSION AND LOCALLY NILPOTENT SKEW DERIVATIONS." Glasgow Mathematical Journal 57, no. 3 (2014): 555–67. http://dx.doi.org/10.1017/s0017089514000482.

Full text
Abstract:
AbstractLet A be a domain over an algebraically closed field with Gelfand–Kirillov dimension in the interval [2,3). We prove that if A has two locally nilpotent skew derivations satisfying some natural conditions, then A must be one of five algebras. All five algebras are Noetherian, finitely generated, and have Gelfand–Kirillov dimension equal to 2. We also obtain some results comparing the Gelfand–Kirillov dimension of an algebra to its subring of invariants under a locally nilpotent skew derivation.
APA, Harvard, Vancouver, ISO, and other styles
3

Lezama, Oswaldo, and Helbert Venegas. "Gelfand–Kirillov dimension for rings." São Paulo Journal of Mathematical Sciences 14, no. 1 (2020): 207–22. http://dx.doi.org/10.1007/s40863-020-00166-4.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

CENTRONE, LUCIO. "A NOTE ON GRADED GELFAND–KIRILLOV DIMENSION OF GRADED ALGEBRAS." Journal of Algebra and Its Applications 10, no. 05 (2011): 865–89. http://dx.doi.org/10.1142/s0219498811004987.

Full text
Abstract:
In this paper, we consider associative P.I. algebras over a field F of characteristic 0, graded by a finite group G. More precisely, we define the G-graded Gelfand–Kirillov dimension of a G-graded P.I. algebra. We find a basis of the relatively free graded algebras of the upper triangular matrices UTn(F) and UTn(E), with entries in F and in the infinite-dimensional Grassmann algebra, respectively. As a consequence, we compute their graded Gelfand–Kirillov dimension with respect to the natural gradings defined over these algebras. We obtain similar results for the upper triangular matrix algebr
APA, Harvard, Vancouver, ISO, and other styles
5

Bell, Jason P., T. H. Lenagan, and Kulumani M. Rangaswamy. "Leavitt path algebras satisfying a polynomial identity." Journal of Algebra and Its Applications 15, no. 05 (2016): 1650084. http://dx.doi.org/10.1142/s0219498816500845.

Full text
Abstract:
Leavitt path algebras [Formula: see text] of an arbitrary graph [Formula: see text] over a field [Formula: see text] satisfying a polynomial identity are completely characterized both in graph-theoretic and algebraic terms. When [Formula: see text] is a finite graph, [Formula: see text] satisfying a polynomial identity is shown to be equivalent to the Gelfand–Kirillov dimension of [Formula: see text] being at most one, though this is no longer true for infinite graphs. It is shown that, for an arbitrary graph [Formula: see text], the Leavitt path algebra [Formula: see text] has Gelfand–Kirillo
APA, Harvard, Vancouver, ISO, and other styles
6

Zhao, Xiangui, and Yang Zhang. "Gelfand-Kirillov Dimensions of Modules over Differential Difference Algebras." Algebra Colloquium 23, no. 04 (2016): 701–20. http://dx.doi.org/10.1142/s1005386716000596.

Full text
Abstract:
Differential difference algebras are generalizations of polynomial algebras, quantum planes, and Ore extensions of automorphism type and of derivation type. In this paper, we investigate the Gelfand-Kirillov dimension of a finitely generated module over a differential difference algebra through a computational method: Gröbner-Shirshov basis method. We develop the Gröbner-Shirshov basis theory of differential difference algebras, and of finitely generated modules over differential difference algebras, respectively. Then, via Gröbner-Shirshov bases, we give algorithms for computing the Gelfand-K
APA, Harvard, Vancouver, ISO, and other styles
7

Moreno-Fernández, José M., and Mercedes Siles Molina. "Graph algebras and the Gelfand–Kirillov dimension." Journal of Algebra and Its Applications 17, no. 05 (2018): 1850095. http://dx.doi.org/10.1142/s0219498818500950.

Full text
Abstract:
We study some properties of the Gelfand–Kirillov dimension in a non-necessarily unital context, in particular, its Morita invariance when the algebras have local units, and its commutativity with direct limits. We then give some applications in the context of graph algebras, which embraces, among some others, path algebras and Cohn and Leavitt path algebras. In particular, we determine the GK-dimension of these algebras in full generality, so extending the main result in A. Alahmadi, H. Alsulami, S. K. Jain and E. Zelmanov, Leavitt Path algebras of finite Gelfand–Kirillov dimension, J. Algebra
APA, Harvard, Vancouver, ISO, and other styles
8

ALAHMADI, ADEL, HAMED ALSULAMI, S. K. JAIN, and EFIM ZELMANOV. "LEAVITT PATH ALGEBRAS OF FINITE GELFAND–KIRILLOV DIMENSION." Journal of Algebra and Its Applications 11, no. 06 (2012): 1250225. http://dx.doi.org/10.1142/s0219498812502258.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Torrecillas, José Gómez. "Gelfand-Kirillov dimension of multi-filtered algebras." Proceedings of the Edinburgh Mathematical Society 42, no. 1 (1999): 155–68. http://dx.doi.org/10.1017/s0013091500020083.

Full text
Abstract:
We consider associative algebras filtered by the additive monoid ℕp. We prove that, under quite general conditions, the study of Gelfand-Kirillov dimension of modules over a multi-filtered algebra R can be reduced to the associated ℕp-graded algebra G(R). As a consequence, we show the exactness of the Gelfand-Kirillov dimension when the multi-filtration is finite-dimensional and G(R) is a finitely generated noetherian algebra. Our methods apply to examples like iterated Ore extensions with arbitrary derivations and “homothetic” automorphisms (e.g. quantum matrices, quantum Weyl algebras) and t
APA, Harvard, Vancouver, ISO, and other styles
10

Martinez, C. "Gelfand-Kirillov dimension in Jordan Algebras." Transactions of the American Mathematical Society 348, no. 1 (1996): 119–26. http://dx.doi.org/10.1090/s0002-9947-96-01528-0.

Full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "Dimension de Gelfand-Kirillov"

1

Gilmartin, Paul. "Connected Hopf algebras of finite Gelfand-Kirillov dimension." Thesis, University of Glasgow, 2016. http://theses.gla.ac.uk/7780/.

Full text
Abstract:
Following the seminal work of Zhuang, connected Hopf algebras of finite GK-dimension over algebraically closed fields of characteristic zero have been the subject of several recent papers. This thesis is concerned with continuing this line of research and promoting connected Hopf algebras as a natural, intricate and interesting class of algebras. We begin by discussing the theory of connected Hopf algebras which are either commutative or cocommutative, and then proceed to review the modern theory of arbitrary connected Hopf algebras of finite GK-dimension initiated by Zhuang. We next focus on
APA, Harvard, Vancouver, ISO, and other styles
2

Galvão, Lucas. "A dimensão de Gelfand-Kirillov de certas álgebras." Universidade de São Paulo, 2014. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-18032015-164005/.

Full text
Abstract:
A dimensão de Gelfand-Kirillov mede a taxa de crescimento assintótico de álgebras. Como fornece informações importantes sobre a sua estrutura, este invariante se tornou uma das ferramentas padrão no estudo de álgebras de dimensão infinita. Neste trabalho apresentamos as propriedades básicas da dimensão de Gelfand-Kirillov de álgebras e de módulos, e também mostramos o cálculo da dimensão de Gelfand-Kirillov de algumas álgebras e módulos, sendo o exemplo mais importante o cálculo da dimensão de Gelfand-Kirillov da álgebra de Weyl An.<br>The Gelfand-Kirillov dimension measures the asymptotic rat
APA, Harvard, Vancouver, ISO, and other styles
3

Machado, Gustavo Grings 1987. "Dimensão de Gelfand-Kirillov em álgebras relativamente livres." [s.n.], 2014. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306359.

Full text
Abstract:
Orientador: Plamen Emilov Kochloukov<br>Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica<br>Made available in DSpace on 2018-08-25T04:30:00Z (GMT). No. of bitstreams: 1 Machado_GustavoGrings_D.pdf: 808427 bytes, checksum: 4482c43f5d1998040317e1873220ce8c (MD5) Previous issue date: 2014<br>Resumo: Neste trabalho estudamos o invariante denominado dimensão de Gelfand-Kirillov para álgebras com identidades polinomiais, sobretudo para álgebras não-associativas, com o objetivo de melhor compreender a estrutura das identidades polino
APA, Harvard, Vancouver, ISO, and other styles
4

Campbell, Chris John Montgomery. "Deformation theory of a birationally commutative surface of Gelfand-Kirillov dimension 4." Thesis, University of Edinburgh, 2016. http://hdl.handle.net/1842/22886.

Full text
Abstract:
Let K be the field of complex numbers. In this thesis we construct new examples of noncommutative surfaces of GK-dimension 4 using the language of formal and infinitesimal deformations as introduced by Gerstenhaber. Our approach is to find families of deformations of a certain well known GK-dimension 4 birationally commutative surface defined by Zhang and Smith in unpublished work cited in [YZ06], which we call A. Let B* and K* be respectively the bar and Koszul complexes of a PBW algebra C = KhV / (R) . We construct a graph whose vertices are elements of the free algebra KhV i and edges are r
APA, Harvard, Vancouver, ISO, and other styles
5

LOBÃO, Carlos David de Carvalho. "A dimensão de Gelfand-Kirillov e algumas aplicações a PI-Teoria." Universidade Federal de Campina Grande, 2009. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/1211.

Full text
Abstract:
Submitted by Johnny Rodrigues (johnnyrodrigues@ufcg.edu.br) on 2018-07-22T14:49:45Z No. of bitstreams: 1 CARLOS DAVID DE CARVALHO LOBÃO - DISSERTAÇÃO PPGMAT 2009..pdf: 418073 bytes, checksum: b2deb42599e396408cd91ddf1721d8eb (MD5)<br>Made available in DSpace on 2018-07-22T14:49:45Z (GMT). No. of bitstreams: 1 CARLOS DAVID DE CARVALHO LOBÃO - DISSERTAÇÃO PPGMAT 2009..pdf: 418073 bytes, checksum: b2deb42599e396408cd91ddf1721d8eb (MD5) Previous issue date: 2009-03<br>As álgebras verbalmente primas são bem conhecidas em característica 0. Já sobre corpos de característica p > 2 pouco sabemos sobr
APA, Harvard, Vancouver, ISO, and other styles
6

Heymann-Heidelberger, Eric [Verfasser], and István [Akademischer Betreuer] Heckenberger. "The Gelfand-Kirillov dimension of rank 2 Nichols algebras of diagonal type / Eric Heymann-Heidelberger ; Betreuer: István Heckenberger." Marburg : Philipps-Universität Marburg, 2020. http://d-nb.info/1215293240/34.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Zhao, Xiangui. "Groebner-Shirshov bases in some noncommutative algebras." London Mathematical Society, 2014. http://hdl.handle.net/1993/24315.

Full text
Abstract:
Groebner-Shirshov bases, introduced independently by Shirshov in 1962 and Buchberger in 1965, are powerful computational tools in mathematics, science, engineering, and computer science. This thesis focuses on the theories, algorithms, and applications of Groebner-Shirshov bases for two classes of noncommutative algebras: differential difference algebras and skew solvable polynomial rings. This thesis consists of three manuscripts (Chapters 2--4), an introductory chapter (Chapter 1) and a concluding chapter (Chapter 5). In Chapter 1, we introduce the background and the goals of the thesi
APA, Harvard, Vancouver, ISO, and other styles
8

Wang, Yitong. "Mod p Langlands program and local-global compatibility for GL₂." Electronic Thesis or Diss., université Paris-Saclay, 2024. http://www.theses.fr/2024UPASM014.

Full text
Abstract:
Cette thèse est consacrée au programme de Langlands modulo p pour GL₂. Dans la première partie, j'étudie la dimension de Gelfand-Kirillov des représentations π provenant de la cohomologie modulo p des courbes de Shimura. Soit p un nombre premier et F un corps de nombres totalement réel non ramifié en des places divisant p. Soit r une représentation modulo p modulaire de dimension 2 du groupe de Galois de F qui satisfait l'hypothèse de Taylor-Wiles et quelques hypothèses techniques de généricité. Pour v une place fixée de F divisant p, on montre que de nombreuses représentations modulo p lisses
APA, Harvard, Vancouver, ISO, and other styles
9

Bois, Jean-Marie. "Corps enveloppants des algèbres de Lie en dimension infinie et en caractéristique positive." Phd thesis, Université de Reims - Champagne Ardenne, 2004. http://tel.archives-ouvertes.fr/tel-00371835.

Full text
Abstract:
Soient g une k-algèbre de Lie, U(g) son algèbre enveloppante, K(g) le corps des fractions de U(g). L'objet de cette thèse est d'étudier des propriétés algébriques du corps gauche K(g) dans les deux cas suivants : d'une part si k est de caractéristique 0 et g est de dimension infinie ; d'autre part si k est de caractéristique positive et g est de dimension finie.<br /><br />On suppose k de caractéristique nulle. On définit d'abord la notion de "degré de transcendance de niveau q" pour les algèbres de Poisson. Cette notion est introduite à partir de la notion de dimension de niveau q définie par
APA, Harvard, Vancouver, ISO, and other styles
10

Sanmarco, Guillermo Luis. "Aportes a la clasificación de álgebras de Hopf punteadas de dimensión de Gelfand-Kirillov finita." Doctoral thesis, 2020. http://hdl.handle.net/11086/17223.

Full text
Abstract:
Tesis (Doctor en Matemática)--Universidad Nacional de Córdoba, Facultad de Matemática, Astronomía, Física y Computación, 2020.<br>Esta tesis es un aporte a la clasificación de las álgebras de Hopf punteadas de dimensión de Gelfand-Kirillov finita sobre cuerpos algebraicamente cerrados y de característica cero. En una primera instancia nos concentramos en álgebras de Hopf punteadas de dimensión finita sobre grupos no abelianos y cuya trenza infinitesimal no es simple. En este contexto, estudiamos un espacio vectorial trenzado particular que puede realizarse como módulo de Yetter-Drinfeld sobre
APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Dimension de Gelfand-Kirillov"

1

H, Lenagan T., ed. Growth of algebras and Gelfand-Kirillov dimension. Pitman Advanced Pub. Program, 1985.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
2

Krause, G. R. Growth of algebras and Gelfand-Kirillov dimension. American Mathematical Society, 2000.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
3

Krause, G. R. Growth of Algebras and Gelfand Kirillov-Dimension. Wiley & Sons, Incorporated, John, 1986.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
4

Rings with Polynomial Identities and Finite Dimensional Representations of Algebras. American Mathematical Society, 2020.

Find full text
APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Dimension de Gelfand-Kirillov"

1

McConnell, J., and J. Robson. "Gelfand-Kirillov dimension." In Graduate Studies in Mathematics. American Mathematical Society, 2001. http://dx.doi.org/10.1090/gsm/030/09.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Nǎstǎsescu, Constantin, and Freddy van Oystaeyen. "The Gelfand-Kirillov Dimension." In Dimensions of Ring Theory. Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3835-9_11.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Krause, Günter, and Thomas Lenagan. "Gelfand-Kirillov dimension of algebras." In Graduate Studies in Mathematics. American Mathematical Society, 1999. http://dx.doi.org/10.1090/gsm/022/03.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Krause, Günter, and Thomas Lenagan. "Gelfand-Kirillov dimension of related algebras." In Graduate Studies in Mathematics. American Mathematical Society, 1999. http://dx.doi.org/10.1090/gsm/022/04.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Granja, Ángel, José Ángel Hermida, and Alain Verschoren. "Computing the Gelfand-Kirillov Dimension II." In Ring Theory And Algebraic Geometry. CRC Press, 2001. http://dx.doi.org/10.1201/9780203907962-2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Bueso, José, José Gómez-Torrecillas, and Alain Verschoren. "The Gelfand-Kirillov dimension and the Hilbert polynomial." In Algorithmic Methods in Non-Commutative Algebra. Springer Netherlands, 2003. http://dx.doi.org/10.1007/978-94-017-0285-0_7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

McConnell, J. C. "Quantum groups, filtered rings and Gelfand-Kirillov dimension." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/bfb0091258.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Matczuk, J. "The Gelfand-Kirillov Dimension of Poincare-Birkhoff-Witt Extensions." In Perspectives in Ring Theory. Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-2985-2_18.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Wallach, Nolan R. "On the Gelfand–Kirillov dimension of a discrete series representation." In Representations of Reductive Groups. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-23443-4_18.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

McConnell, J. C., and J. C. Robson. "Gelfand-Kirillov Dimension, Hilbert-Samuel polynomials and Rings of Differential Operators." In Perspectives in Ring Theory. Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-2985-2_20.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Dimension de Gelfand-Kirillov"

1

Mao, Lingling. "The Gelfand-kirillov Dimension of Quantized enveloping Algebra of Uq(B2)." In 2019 IEEE International Conference on Computation, Communication and Engineering (ICCCE). IEEE, 2019. http://dx.doi.org/10.1109/iccce48422.2019.9010783.

Full text
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Dimension de Gelfand-Kirillov' for particular source types:
Journal articles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography