Relevant bibliographies by topics / Division algebras over local fields

Contents

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

Academic literature on the topic 'Division algebras over local fields'

Author: Grafiati
Published: 4 June 2021
Last updated: 13 February 2022

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Journal articles on the topic "Division algebras over local fields"

1

Hewett, T. "Finite Subgroups of Division Algebras over Local Fields." Journal of Algebra 173, no. 3 (1995): 518–48. http://dx.doi.org/10.1006/jabr.1995.1101.

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Hewett, Thomas. "Normalizers of finite subgroups of division algebras over local fields." Mathematical Research Letters 6, no. 3 (1999): 271–86. http://dx.doi.org/10.4310/mrl.1999.v6.n3.a2.

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Hesselholt, Lars, Michael Larsen, and Ayelet Lindenstrauss. "On the K-theory of division algebras over local fields." Inventiones mathematicae 219, no. 1 (2019): 281–329. http://dx.doi.org/10.1007/s00222-019-00909-x.

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Leep, D. B., J. P. Tignol, and N. Vast. "The level of division algebras over local and global fields." Journal of Number Theory 33, no. 1 (1989): 53–70. http://dx.doi.org/10.1016/0022-314x(89)90059-0.

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Koch, Helmut. "Eisenstein Polynomial Sequences and Conjugacy Classes of Division Algebras over Local Fields." Mathematische Nachrichten 147, no. 1 (1990): 307–36. http://dx.doi.org/10.1002/mana.19901470128.

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Hesselholt, Lars, Michael Larsen, and Ayelet Lindenstrauss. "Correction to: On the K-theory of division algebras over local fields." Inventiones mathematicae 219, no. 1 (2019): 331–32. http://dx.doi.org/10.1007/s00222-019-00913-1.

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Hu, Yong. "Reduced norms of division algebras over complete discrete valuation fields of local-global type." Journal of Algebra and Its Applications 19, no. 11 (2019): 2050217. http://dx.doi.org/10.1142/s0219498820502175.

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Let [Formula: see text] be a complete discrete valuation field whose residue field [Formula: see text] is a global field of positive characteristic [Formula: see text]. Let [Formula: see text] be a central division [Formula: see text]-algebra of [Formula: see text]-power degree. We prove that the subgroup of [Formula: see text] consisting of reduced norms of [Formula: see text] is exactly the kernel of the cup product map [Formula: see text], if either [Formula: see text] is tamely ramified or of period [Formula: see text]. This gives a [Formula: see text]-torsion counterpart of a recent theor
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Corwin, Lawrence. "The unitary dual for the multiplicative group of arbitrary division algebras over local fields." Journal of the American Mathematical Society 2, no. 3 (1989): 565. http://dx.doi.org/10.1090/s0894-0347-1989-0984512-1.

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Chipchakov, I. D. "On the Classification of Central Division Algebras of Linearly Bounded Degree over Global Fields and Local Fields." Journal of Algebra 160, no. 2 (1993): 342–79. http://dx.doi.org/10.1006/jabr.1993.1191.

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Corwin, Lawrence. "Approximation of prime elements in division algebras over local fields and unitary representations of the multiplicative group." Pacific Journal of Mathematics 130, no. 2 (1987): 223–51. http://dx.doi.org/10.2140/pjm.1987.130.223.

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Dissertations / Theses on the topic "Division algebras over local fields"

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Chang, Frank H. "Division algebras over generalized local fields /." Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC campuses, 2004. http://wwwlib.umi.com/cr/ucsd/fullcit?p3120451.

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Lindqvist, Anders. "On four-dimensional unital division algebras over finite fields." Thesis, Uppsala universitet, Algebra och geometri, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-254656.

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Bujard, Cédric. "Finite subgroups of the extended Morava stabilizer groups." Thesis, Strasbourg, 2012. http://www.theses.fr/2012STRAD010/document.

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L'objet de la thèse est la classification à conjugaison près des sous-groupes finis du groupe de stabilisateur (classique) de Morava S_n et du groupe de stabilisateur étendu G_n(u) associé à une loi de groupe formel F de hauteur n définie sur le corps F_p à p éléments. Une classification complète dans S_n est établie pour tout entier positif n et premier p. De plus, on montre que la classification dans le groupe étendu dépend aussi de F et son unité associée u dans l'anneau des entiers p-adiques. On établit un cadre théorique pour la classification dans G_n(u), on donne des conditions nécessai
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Kapp, Brian Michael. "On the structure of certain groups associated to division algebras over fields of power series /." 2008. http://wwwlib.umi.com/dissertations/fullcit/3326995.

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Books on the topic "Division algebras over local fields"

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Jacobson, Nathan. Finite-dimensional division algebras over fields. Springer, 1996.

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Jacobson, Nathan. Finite-Dimensional Division Algebras over Fields. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-02429-0.

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Shparlinski, Igor E., and David R. Kohel. Frobenius distributions: Lang-Trotter and Sato-Tate conjectures : Winter School on Frobenius Distributions on Curves, February 17-21, 2014 [and] Workshop on Frobenius Distributions on Curves, February 24-28, 2014, Centre International de Rencontres Mathematiques, Marseille, France. American Mathematical Society, 2016.

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Zbigniew, Hajto, ed. Algebraic groups and differential Galois theory. American Mathematical Society, 2011.

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Brauer groups, Tamagawa measures, and rational points on algebraic varieties. American Mathematical Society, 2014.

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Germany) International Conference on p-adic Functional Analysis (13th 2014 Paderborn. Advances in non-Archimedean analysis: 13th International Conference on p-adic Functional Analysis, August 12-16, 2014, University of Paderborn, Paderborn, Germany. Edited by Glöckner Helge 1969 editor, Escassut Alain editor, and Shamseddine Khodr 1966 editor. American Mathematical Society, 2016.

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7

Jacobson, Nathan. Finite-Dimensional Division Algebras over Fields. Springer, 2010.

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8

M¨uhlherr, Bernhard, Holger P. Petersson, and Richard M. Weiss. Existence. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691166902.003.0016.

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This chapter proves that Bruhat-Tits buildings exist. It begins with a few definitions and simple observations about quadratic forms, including a 1-fold Pfister form, followed by a discussion of the existence part of the Structure Theorem for complete discretely valued fields due to H. Hasse and F. K. Schmidt. It then considers the generic unramified cases; the generic semi-ramified cases, the generic ramified cases, the wild unramified cases, the wild semi-ramified cases, and the wild ramified cases. These cases range from a unique unramified quadratic space to an unramified separable quadrat
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M¨uhlherr, Bernhard, Holger P. Petersson, and Richard M. Weiss. Quadratic Forms of Type E6, E7 and E8. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691166902.003.0008.

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This chapter presents various results about quadratic forms of type E⁶, E₇, and E₈. It first recalls the definition of a quadratic space Λ‎ = (K, L, q) of type Eℓ for ℓ = 6, 7 or 8. If D₁, D₂, and D₃ are division algebras, a quadratic form of type E⁶ can be characterized as the anisotropic sum of two quadratic forms, one similar to the norm of a quaternion division algebra D over K and the other similar to the norm of a separable quadratic extension E/K such that E is a subalgebra of D over K. Also, there exist fields of arbitrary characteristic over which there exist quadratic forms of type E
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Advances In Ultrametric Analysis 12th International Conference On Padic Functional Analysis July 26 2012 University Of Manitoba Winnipeg Canada. American Mathematical Society, 2013.

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Book chapters on the topic "Division algebras over local fields"

1

Tignol, Jean-Pierre, and Adrian R. Wadsworth. "Division Algebras over Henselian Fields." In Springer Monographs in Mathematics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-16360-4_8.

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Jacobson, Nathan. "p-Algebras." In Finite-Dimensional Division Algebras over Fields. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-02429-0_4.

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Jacobson, Nathan. "Skew Polynomials and Division Algebras." In Finite-Dimensional Division Algebras over Fields. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-02429-0_1.

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Weil, André. "Simple algebras over local fields." In Basic Number Theory. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-61945-8_10.

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Voight, John. "Quaternion algebras over local fields." In Graduate Texts in Mathematics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-56694-4_13.

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Jacobson, Nathan. "Simple Algebras with Involution." In Finite-Dimensional Division Algebras over Fields. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-02429-0_5.

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Jacobson, Nathan. "Galois Descent and Generic Splitting Fields." In Finite-Dimensional Division Algebras over Fields. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-02429-0_3.

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Jacobson, Nathan. "Brauer Factor Sets and Noether Factor Sets." In Finite-Dimensional Division Algebras over Fields. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-642-02429-0_2.

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Rowen, L. H., A. S. Sivatski, and J. P. Tignol. "Division algebras over rational function fields in one variable." In Algebra and Number Theory. Hindustan Book Agency, 2005. http://dx.doi.org/10.1007/978-93-86279-23-1_11.

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"Hecke Algebras for GL_{𝑛} over Local Fields: Introduction". У Harish-Chandra Homomorphisms for 𝔭-Adic Groups. American Mathematical Society, 1985. http://dx.doi.org/10.1090/cbms/059/02.

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Conference papers on the topic "Division algebras over local fields"

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Abdel-Maksoud, Moustafa, Volker Müller, Tao Xing, et al. "Experimental and Numerical Investigations on Flow Characteristics of the KVLCC2 at 30° Drift Angl." In SNAME 5th World Maritime Technology Conference. SNAME, 2015. http://dx.doi.org/10.5957/wmtc-2015-158.

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Investigations of flow characteristics around ship hulls at large drift angle are very important for understanding the motion behavior of ships during maneuvers. At large drift angles, the flow is dominated by strong vortical structures and complex three-dimensional separations. An accurate prediction of these flow structures is still a challenge for modern computational fluid dynamics (CFD) solvers. Hull forms with high block coefficients are blunt and have strong curvatures, which leads to large area flow separations over smooth surfaces. These areas are sensitive to the relative angle betwe
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Jin, Hong-Qing, and Li-Wu Fan. "Melting of a Phase Change Material Filled in a Metal Foam: A Visualized Study at the Pore-Scale Using Infrared Imaging." In ASME 2016 Heat Transfer Summer Conference collocated with the ASME 2016 Fluids Engineering Division Summer Meeting and the ASME 2016 14th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/ht2016-7338.

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The thermal imaging technique was applied in this work to measure the transient temperature fields during melting of a phase change material (PCM) in a metal foam. A paraffin wax was used as the PCM that was filled in an open-celled copper foam. Melting of a paraffin wax in the presence of copper foam was studied in a rectangular cavity that was heated from one lateral side wall, while the top surface was exposed to an infrared (IR) camera. A thermocouple (TC) was also employed to validate the accuracy of temperature measurements by IR thermal imaging. The relative deviation of measured temper
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Rostamy, Noorallah, David Sumner, Donald J. Bergstrom, and James D. Bugg. "An Experimental Study of the Flow Above the Free Ends of Surface-Mounted Bluff Bodies." In ASME 2012 Fluids Engineering Division Summer Meeting collocated with the ASME 2012 Heat Transfer Summer Conference and the ASME 2012 10th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/fedsm2012-72028.

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The flow around surface-mounted finite-height bluff bodies is more complex than the flow around a two-dimensional or “infinite” cylinder. The flow over the free end and the boundary layer flow around the body-wall junction strongly influence the near-wake flow pattern. Streamwise tip vortex structures interact in a complex manner with Kármán vortex shedding from the sides of the body, and are responsible for a downward-directed local velocity field in the upper part of the wake known as “downwash.” A second pair of streamwise vortex structures, known as the base vortices, is found close to the
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