I: Basic representation theory of finite groups and associative algebras,2018D. J. Benson, Representations and Cohomology I: Basic representation theory of finite groups and associative algebras, Cambridge Studies in Advanced Mathematics 30, (Cambridge U.P. 1991)....
Basic Representation Theory, Eur. Math. Soc. Textbooks in Math., Eur. Math. Soc., Zurich, 2011.A. Kirillov, Basic Representation Theory, Nauka, Moscow, 1972.A. Skowron´ski and K. Yamagata, Frobenius Algebras I: Basic Representation Theory, Eur. Math. Soc. Textbooks in Mathematics, Eur...
On the Representation Ring of a Quiver The Clebsch–Gordan problem for quiver representations is the problem of decomposing the tensor product of any two representations of a quiver, where the t... M Herschend - 《Algebras & Representation Theory》 被引量: 34发表: 2009年 SOLUTION TO THE CLEBS...
This is a quick outline of some basic representation theory. The proofs are only sketched, and many other details are omitted, but I hope I've included enough to make them relatively easy to reconstruct. We'll work over the field C of complex numbers, since the arguments that follow will...
Some basic notions of classical algebraic geometry can be defined inarbitrary varieties of algebras $\\Theta.$ For every algebra $H$ in $\\Theta$ onecan co... B Plotkin - 《Institute of Mathematics》 被引量: 120发表: 2002年 Algebraic geometry An introduction to algebraic geometry, with the...
We calculate the invariant factors of the standard lattice V Z inside the basic representation of untwisted Kac–Moody algebras of ADE-type. This, in turn, gives the invariant factors of Cartan matrices for symmetric groups in prime characteristic as well as for the Iwahori–Hecke algebra at ro...
In the present notes we provide a new uniform way to compute a canonical p-dimension of a split algebraic group G for a torsion prime p using degrees of basic polynomial invariants described by V.Kac. As an application, we compute the canonical p-dimensions for all split exceptional algebraic...
We present a uniform construction of level 1 perfect crystals for all affine Lie algebras. We also introduce the notion of a crystal algebra and give an explicit description of its multiplication. This allows us to determine the energy function on completely and thereby give a path realization of...
Thus, while future historians of mathematics may debate when the definition of a matroid first appeared, there is no doubt that the theory of matroids began in Whitney’s 1935 paper, “On the abstract properties of linear dependence”. This paper is the first paper reprinted in our anthology....
Basic Algebra II Second Edition 基础代数II第二版.pdf,Basic Algebr a II Second Editio n N A T H A N J A C O B S O N YAL E UNIVERSIT Y • B W . H . F R E E M A N A N D C O M P A N Y N ew Yor k To Mik e and Polly Library of Congress Cataloging-in-...