Irreducible Representations of Finite Classical Groups Containing Matrices with Simple Spectra

Irreducible Representations of Finite Classical Groups Containing Matrices with Simple Spectra PDF Author: Irina Dmitrievna Suprunenko
Publisher:
ISBN:
Category :
Languages : en
Pages : 37

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Irreducible Representations of Finite Classical Groups Containing Matrices with Simple Spectra

Irreducible Representations of Finite Classical Groups Containing Matrices with Simple Spectra PDF Author: Irina Dmitrievna Suprunenko
Publisher:
ISBN:
Category :
Languages : en
Pages : 37

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Modular Representations of Finite Groups of Lie Type

Modular Representations of Finite Groups of Lie Type PDF Author: James E. Humphreys
Publisher: Cambridge University Press
ISBN: 9780521674546
Category : Mathematics
Languages : en
Pages : 260

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Book Description
A comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic.

Ischia Group Theory 2010

Ischia Group Theory 2010 PDF Author: Mariagrazia Bianchi
Publisher: World Scientific
ISBN: 9814350052
Category : Mathematics
Languages : en
Pages : 416

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Book Description
Positive laws on generators in powerful pro-p groups / C. Acciarri and G.A. Fernandez-Alcober -- Periodic groups saturated by dihedral subgroups / B. Amberg and L. Kazarin -- A note on finite groups in which the conjugacy class sizes form an arithmetic progression / M. Bianchi, A. Gillio and P.P. Palfy -- A survey of recent progress on non-abelian tensor squares of groups / R.D. Blyth, F. Fumagalli and M. Morigi -- Conjugacy classes of subgroups of finite p-groups: the first gap / R. Brandl -- The Tutte polynomial of the Schreier graphs of the Grigorchuck group and the Basilica group / T. Ceccherini-Silberstein, A. Donno and D. Iacono -- On maximal subgroups of the alternating and symmetric groups / V. Colombo -- Markov's problems through the looking glass of Zariski and Markov topologies / D. Dikranjan and D. Toller -- Linear groups with finite dimensional orbits / M.R. Dixon, L.A. Kurdachenko and J. Otal -- Three-dimensional loops as sections in a four-dimensional solvable Lie group / A. Figula -- A note on finite p-groups with a maximal elementary subgroup of rank 2 / G. Glauberman -- Finitely generated free by C[symbol] pro-p groups / W. Herfort and P.A. Zalesskii -- Finite nonabelian 2-groups all of whose minimal nonabelian subgroups are isomorphic to M[symbol] / Z. Janko -- Twisted conjugacy in certain Artin groups / A. Juhasz -- Applications of Clifford's theorem to Frobenius groups of automorphisms / E.I. Khukhro -- Inducing [symbol]-partial characters with a given vertex / M.L. Lewis -- Groups and Lie rings with Frobenius groups of automorphisms / N. Yu. Makarenko -- On integral representations of finite groups / D. Malinin -- On p-groups of small powerful class / A. Mann -- Lifting (2, k)-generators of linear groups / A. Maroti and C. Tamburini Bellani -- Fixed point subgroups and character tables / G. Navarro -- Permutability and seriality in locally finite groups / D.J.S. Robinson -- On the exponent of a finite group with a four-group of automorphisms / E. Romano and P. Shumyatsky -- Examples of Markov chains on spaces with multiplicities / F. Scarabotti and F. Tolli -- On the order and the element orders of finite groups: results and problems / W.J. Shi -- On local finiteness of verbal subgroups in residually finite groups / P. Shumyatsky -- The adjoint group of radical rings and related questions / Ya. P. Sysak -- On the Gorenstein dimension of soluble groups / O. Talelli -- Decomposition numbers for projective modules of finite Chevalley groups / A.E. Zalesski

Theory Of Groups And Symmetries: Representations Of Groups And Lie Algebras, Applications

Theory Of Groups And Symmetries: Representations Of Groups And Lie Algebras, Applications PDF Author: Alexey P Isaev
Publisher: World Scientific
ISBN: 9811217424
Category : Science
Languages : en
Pages : 615

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Book Description
This book is a sequel to the book by the same authors entitled Theory of Groups and Symmetries: Finite Groups, Lie Groups, and Lie Algebras.The presentation begins with the Dirac notation, which is illustrated by boson and fermion oscillator algebras and also Grassmann algebra. Then detailed account of finite-dimensional representations of groups SL(2, C) and SU(2) and their Lie algebras is presented. The general theory of finite-dimensional irreducible representations of simple Lie algebras based on the construction of highest weight representations is given. The classification of all finite-dimensional irreducible representations of the Lie algebras of the classical series sℓ(n, C), so(n, C) and sp(2r, C) is exposed.Finite-dimensional irreducible representations of linear groups SL(N, C) and their compact forms SU(N) are constructed on the basis of the Schur-Weyl duality. A special role here is played by the theory of representations of the symmetric group algebra C[Sr] (Schur-Frobenius theory, Okounkov-Vershik approach), based on combinatorics of Young diagrams and Young tableaux. Similar construction is given for pseudo-orthogonal groups O(p, q) and SO(p, q), including Lorentz groups O(1, N-1) and SO(1, N-1), and their Lie algebras, as well as symplectic groups Sp(p, q). The representation theory of Brauer algebra (centralizer algebra of SO(p, q) and Sp(p, q) groups in tensor representations) is discussed.Finally, the covering groups Spin(p, q) for pseudo-orthogonal groups SO↑(p, q) are studied. For this purpose, Clifford algebras in spaces Rp, q are introduced and representations of these algebras are discussed.

Representation Theory of Finite Groups

Representation Theory of Finite Groups PDF Author: Benjamin Steinberg
Publisher: Springer Science & Business Media
ISBN: 1461407761
Category : Mathematics
Languages : en
Pages : 166

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Book Description
This book is intended to present group representation theory at a level accessible to mature undergraduate students and beginning graduate students. This is achieved by mainly keeping the required background to the level of undergraduate linear algebra, group theory and very basic ring theory. Module theory and Wedderburn theory, as well as tensor products, are deliberately avoided. Instead, we take an approach based on discrete Fourier Analysis. Applications to the spectral theory of graphs are given to help the student appreciate the usefulness of the subject. A number of exercises are included. This book is intended for a 3rd/4th undergraduate course or an introductory graduate course on group representation theory. However, it can also be used as a reference for workers in all areas of mathematics and statistics.

Representations of Finite Classical Groups

Representations of Finite Classical Groups PDF Author: Andrey V. Zelevinsky
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 922

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Mathematical Reviews

Mathematical Reviews PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1208

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Theory of Group Representations and Applications

Theory of Group Representations and Applications PDF Author: Asim Orhan Barut
Publisher: World Scientific
ISBN: 9789971502171
Category : Mathematics
Languages : en
Pages : 750

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Book Description
Lie!algebras - Topological!groups - Lie!groups - Representations - Special!functions - Induced!representations.

Representations of Finite Classical Groups

Representations of Finite Classical Groups PDF Author: A. V. Zelevinsky
Publisher: Springer
ISBN: 9783540108245
Category : Mathematics
Languages : en
Pages : 186

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Nuclear Science Abstracts

Nuclear Science Abstracts PDF Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 1288

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