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Books on the topic 'Representation of algebras'

Author: Grafiati

Published: 4 June 2021

Last updated: 14 February 2022

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1

Erdmann, Karin, and Thorsten Holm. Algebras and Representation Theory. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-91998-0.

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2

Stuart, Martin. Schur algebras and representation theory. Cambridge: Cambridge University Press, 1993.

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3

Auslander, Maurice. Representation theory of Artin algebras. Cambridge, U.K: Cambridge University Press, 1997.

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4

Assem, Ibrahim, and Flávio U. Coelho. Basic Representation Theory of Algebras. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-35118-2.

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5

Auslander, Maurice. Representation theory of Artin algebras. Cambridge: Cambridge University Press, 1995.

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6

W, Roggenkamp Klaus, Stefanescu Mirela, and North Atlantic Treaty Organization. Scientific Affairs Division., eds. Algebra, representation theory. Dordrecht: Kluwer Academic Publishers, 2001.

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7

Unbounded operator algebras and representation theory. Basel: Birkhäuser Verlag, 1990.

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8

Humphreys, James E. Introduction to Lie algebras and representation theory. 7th ed. New York: Springer, 1997.

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9

Introduction to Lie algebras and representation theory. 6th ed. New York: Springer-Verlag, 1994.

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10

Representation theory of group graded algebras. Commack, NY: Nova Science, 1999.

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11

Benson, D. J. (David J.), 1955-, Krause Henning 1962-, and Skowroński Andrzej, eds. Advances in representation theory of algebras. Zürich: European Mathematical Society, 2013.

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12

Thévenaz, Jacques. G-algebras and modular representation theory. Oxford: Clarendon Press, 1995.

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13

Schmüdgen, Konrad. Unbounded Operator Algebras and Representation Theory. Basel: Birkhäuser Basel, 1990. http://dx.doi.org/10.1007/978-3-0348-7469-4.

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14

Dlab, Vlastimil, Peter Gabriel, and Gerhard Michler, eds. Representation Theory I Finite Dimensional Algebras. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0075254.

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15

Adams, Jeffrey, Rebecca Herb, Stephen Kudla, Jian-Shu Li, Ron Lipsman, and Jonathan Rosenberg, eds. Representation theory of groups and algebras. Providence, Rhode Island: American Mathematical Society, 1993. http://dx.doi.org/10.1090/conm/145.

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16

Assem, Ibrahim, Christof Geiß, and Sonia Trepode, eds. Advances in Representation Theory of Algebras. Providence, Rhode Island: American Mathematical Society, 2021. http://dx.doi.org/10.1090/conm/761.

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17

Martsinkovsky, Alex, Kiyoshi Igusa, and Gordana Todorov, eds. Surveys in Representation Theory of Algebras. Providence, Rhode Island: American Mathematical Society, 2018. http://dx.doi.org/10.1090/conm/716.

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18

Benson, David, Henning Krause, and Andrzej Skowroński, eds. Advances in Representation Theory of Algebras. Zuerich, Switzerland: European Mathematical Society Publishing House, 2014. http://dx.doi.org/10.4171/125.

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19

William, Fulton. Representation theory: A first course. New York: Springer-Verlag, 1991.

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20

William, Fulton. Representation theory: A first course. 3rd ed. New York: Springer, 1996.

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21

Etingof, P. I. Introduction to representation theory. Providence, R.I: American Mathematical Society, 2011.

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22

Andrzej, Skowroński, ed. Trends in representation theory of algebras and related topics. Zürich, Switzerland: European Mathematical Society, 2008.

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23

Daniel, Simson, and Skowroński Andrzej, eds. Elements of the representation theory of associative algebras. New York: Cambridge University Press, 2005.

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24

Yoshiyuki, Koga, ed. Representation theory of the Virasoro algebra. London: Springer, 2011.

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25

Neher, Erhard. Geometric representation theory and extended affine Lie algebras. Providence, R.I: American Mathematical Society, 2011.

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26

Geometric representation theory and extended affine Lie algebras. Providence, R.I: American Mathematical Society, 2011.

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27

McKay, W. G. Tables of representation of simple Lie algebras. Montréal: Université de Montréal, Centre de recherches mathématiques, 1990.

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28

Assem, Ibrahim, and Sonia Trepode, eds. Homological Methods, Representation Theory, and Cluster Algebras. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-74585-5.

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29

Barot, Michael. Introduction to the Representation Theory of Algebras. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-11475-0.

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30

Cherednik, Ivan, Yavor Markov, Roger Howe, and George Lusztig. Iwahori-Hecke Algebras and their Representation Theory. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/b10326.

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31

Greuel, Gert-Martin, and Günther Trautmann, eds. Singularities, Representation of Algebras, and Vector Bundles. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0078834.

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32

Fragoulopoulou, Maria. An introduction of the representation theory of topological *-algebras. [Münster]: Fotomechanische Herstellung, Drucktechnische Zentralstelle der Universität Münster, 1988.

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33

International Conference on Representations of Algebras (7th 1994 Cocoyoc, Mexico). Representation theory of algebras: Seventh International Conference on Representations of Algebras, August 22-26, 1994, Cocoyoc, Mexico. Edited by Bautista Raymundo, Martínez-Villa Roberto, and Peña, José Antonio de la, 1958-. Providence, R.I: Published by the American Mathematical Society for the Canadian Mathematical Society, 1996.

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34

Kondrat'ev, Gennadiy. Clifford Geometric Algebra. ru: INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/1832489.

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Abstract:

The monograph is devoted to the fundamental aspects of geometric algebra and closely related issues. The category of Clifford algebras is considered as the conjugate category of vector spaces with a quadratic form. Possible constructions in this category and internal algebraic operations of an algebra with a geometric interpretation are studied. An application to the differential geometry of a Euclidean manifold based on a shape tensor is included. We consider products, coproducts and tensor products in the category of associative algebras with application to the decomposition of Clifford algebras into simple components. Spinors are introduced. Methods of matrix representation of the Clifford algebra are studied. It may be of interest to students, postgraduates and specialists in the field of mathematics, physics and cybernetics.

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35

Conference "Combinatorial Representation Theory and Related Topics" (2006 Kyoto, Japan). Combinatorial representation theory and related topics. Kyoto: Research Institute for Mathematical Sciences, Kyoto University, 2008.

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36

Japan) Conference "Expansion of Combinatorial Representation Theory" (2007 Kyoto. New trends in combinatorial representation theory. Kyoto: Research Institute for Mathematical Sciences, Kyoto University, 2009.

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37

service), SpringerLink (Online, ed. Representation Theory of Finite Groups: An Introductory Approach. New York, NY: Springer Science+Business Media, LLC, 2012.

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38

K, Raina A., ed. Bombay lectures on highest weight representations of infinite dimensional lie algebras. Singapore: World Scientific, 1987.

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39

author, Raina A. K., and Rozhkovskaya Natasha author, eds. Bombay lectures on highest weight representations of infinite dimensional lie algebras. Hackensack,] New Jersey: World Scientific, 2013.

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40

MSJ International Reseach Institute (10th 2001 Tokyo, Japan). Representation theory of algebraic groups and quantum groups. Tokyo: Mathematical Society of Japan, 2004.

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41

Pogorzały, Zygmunt. A characterization of representation-finite biserial algebras over a perfect field. Warszawa: Państwowe Wydawn. Nauk., 1989.

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42

Happel, Dieter. Triangulated categories in the representation theory of finitedimensional algebras. Cambridge: Cambridge University Press, 1988.

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43

International Conference on Representations of Algebras (4th 1984 Ottawa, Canada). Representation theory: Proceedings of the Fourth International Conference on Representations of Algebras held in Ottawa, Canada, August 16-25, 1984. Berlin: Springer-Verlag, 1986.

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44

W, Curtis Charles. Representation theory of finite groups and associative algebras. New York: Wiley, 1988.

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45

Blocks of tame representation type and related algebras. Berlin: Springer-Verlag, 1990.

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46

Curtis, Charles W. Representation theory of finite groups and associative algebras. Providence, RI: AMS Chelsea Pub., 2005.

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47

Erdmann, Karin. Blocks of Tame Representation Type and Related Algebras. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/bfb0084003.

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48

Erdmann, Karin. Blocks of tame representation type and related algebras. Berlin: Springer-Verlag, 1990.

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49

den, Bergh M. van, ed. Two-dimensional tame and maximal orders of finite representation type. Providence, R.I: American Mathematical Society, 1989.

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50

University), Symposium on Lie Algebras and Representation Theory (1995 Seoul National. Lie algebras and their representations: A Symposium on Lie Algebras and Representation Theory, January 23-27, 1995, Seoul National University, Seoul, Korea. Providence, R.I: American Mathematical Society, 1996.

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