Relevant bibliographies by topics / Hopf-Galois correspondence

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  1. Journal articles
  2. Dissertations / Theses

Academic literature on the topic 'Hopf-Galois correspondence'

Author: Grafiati
Published: 4 June 2021
Last updated: 11 February 2022

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Journal articles on the topic "Hopf-Galois correspondence"

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JORGENSEN, PALLE E. T., and XIU-CHI QUAN. "COVARIANCE GROUP C*-ALGEBRAS AND GALOIS CORRESPONDENCE." International Journal of Mathematics 02, no. 06 (1991): 673–99. http://dx.doi.org/10.1142/s0129167x91000375.

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The main purpose of this paper is to establish a Galois correspondence for a given covariant group system, its associated C*-algebra and Hopf C*-algebra. On the way to this, we first study covariance group C*-algebras and their representations, and prove a result which is simpler but yet very similar to the C*-algebra case in the main body of the paper. We then show that there is a Galois correspondence between the lattice of normal subgroups of the given covariant group system and a corresponding lattice of certain invariant *-subalgebras of the covariant group C*-algebra; in particular, ther
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Crespo, T., A. Rio, and M. Vela. "On the Galois correspondence theorem in separable Hopf Galois theory." Publicacions Matemàtiques 60 (January 1, 2016): 221–34. http://dx.doi.org/10.5565/publmat_60116_08.

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Childs, Lindsay N. "Skew braces and the Galois correspondence for Hopf Galois structures." Journal of Algebra 511 (October 2018): 270–91. http://dx.doi.org/10.1016/j.jalgebra.2018.06.023.

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Ferreira, V. O., L. S. I. Murakami, and A. Paques. "A Hopf–Galois correspondence for free algebras." Journal of Algebra 276, no. 1 (2004): 407–16. http://dx.doi.org/10.1016/s0021-8693(03)00502-7.

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Kohl, Timothy. "Characteristic subgroup lattices and Hopf–Galois structures." International Journal of Algebra and Computation 29, no. 02 (2019): 391–405. http://dx.doi.org/10.1142/s0218196719500073.

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The Hopf–Galois structures on normal field extensions [Formula: see text] with [Formula: see text] are in one-to-one correspondence with the set of regular subgroups [Formula: see text] of [Formula: see text], the group of permutations of [Formula: see text] as a set, that are normalized by the left regular representation [Formula: see text]. Each such [Formula: see text] corresponds to a Hopf algebra [Formula: see text] that acts on [Formula: see text]. Such regular subgroups need not be isomorphic to [Formula: see text] but must have the same order. One can divide all such [Formula: see text
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De Commer, Kenny, and Johan Konings. "A Correspondence Between Homogeneous and Galois Coactions of Hopf Algebras." Algebras and Representation Theory 23, no. 4 (2019): 1387–416. http://dx.doi.org/10.1007/s10468-019-09892-6.

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Childs, Lindsay N. "On the Galois correspondence for Hopf Galois structures arising from finite radical algebras and Zappa-Szép products." Publicacions Matemàtiques 65 (January 1, 2021): 141–63. http://dx.doi.org/10.5565/publmat6512105.

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Westreich, Sara. "A Galois-Type Correspondence Theory for Actions of Finite-Dimensional Pointed Hopf Algebras on Prime Algebras." Journal of Algebra 219, no. 2 (1999): 606–24. http://dx.doi.org/10.1006/jabr.1999.7864.

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DAVID, MARIE-CLAUDE, and NICOLAS M. THIÉRY. "EXPLORATION OF FINITE-DIMENSIONAL KAC ALGEBRAS AND LATTICES OF INTERMEDIATE SUBFACTORS OF IRREDUCIBLE INCLUSIONS." Journal of Algebra and Its Applications 10, no. 05 (2011): 995–1106. http://dx.doi.org/10.1142/s0219498811005099.

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We study the four infinite families KA(n), KB(n), KD(n), and KQ(n) of finite-dimensional Hopf (in fact Kac) algebras constructed, respectively, by A. Masuoka and L. Vainerman: isomorphisms, automorphism groups, self-duality, lattices of coideal sub-algebras. We reduce the study to KD(n) by proving that the others are isomorphic to KD(n), its dual, or an index 2 subalgebra of KD(2n). We derive many examples of lattices of intermediate subfactors of the inclusions of depth 2 associated to those Kac algebras, as well as the corresponding principal graphs, which is the original motivation. Along t
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van Oystaeyen, F., and Y. Zhang. "Galois-type correspondences for Hopf Galois extensions." K-Theory 8, no. 3 (1994): 257–69. http://dx.doi.org/10.1007/bf00960864.

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Dissertations / Theses on the topic "Hopf-Galois correspondence"

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Bui, Hoan-Phung. "Correspondence theorems in Hopf-Galois theory for separable field extensions." Doctoral thesis, Universite Libre de Bruxelles, 2020. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/312548.

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La théorie de Galois a eu un impact sur les mathématiques plus important que ce qu'elle laissait présager au départ. Son résultat le plus important est le théorème de correspondance qui s'énonce de la manière suivante :si L/K est une extension de corps finie galoisienne et si G = Gal(L/K) est son groupe de Galois, alors il existe une correspondance biunivoque entre les corps intermédiaires de L/K et les sous-groupes de G. Explicitement, si G_0 est un sous-groupe de G, alors on lui associe l'ensemble des G_0-invariants L^(G_0) qui est un corps intermédiaire de L/K. D'autre part, si L_0 est un c
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Neto, Octávio Bernardes Ferreira. "Correspondência do tipo Galois para ações de álgebras de Hopf em álgebras primas." Universidade de São Paulo, 2008. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-28102008-013856/.

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Demonstramos um teorema da correspondência do tipo Galois para ações de álgebras de Hopf pontuais de dimensão finita em álgebras primas. A correspondência acontece entre subálgebras racionalmente completas e comódulo subálgebras. As subálgebras racionalmente completas são subálgebras da álgebra prima, enquanto os comódulo subálgebras são comódulo subálgebras do produto smash entre o centralizador da álgebra prima em sua álgebra de quocientes de Martindale simétrica e a álgebra de Hopf.<br>A Galois-type correspondence theorem for prime algebras acted upon by a finite dimensional pointed Hopf al
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