The Representation Theory of the Symmetric Group provides an account of both the ordinary and modular representation theory of the symmetric groups. The range of applications of this theory is vast, varying from theoretical physics, through combinatories to the study of polynomial identity algebras; ...
Tolli, Representation Theory of the Symmetric Groups: The Okounkov-Vershik Approach, Character Formulas, and Partition Algebras, Cambridge University Press, Cam- bridge, 2010.Ceccherini-Silberstein, Tullio, Scarabotti, Fabio, and Tolli, Filippo, Rep- resentation Theory of the Sym...
The Representation Theory of Symmetric Groups This paper forms an introductory account of the irreducible representations of the permutation group using Young Tableaux as the tool to achieve this. The ... GD James - Springer-Verlag, 被引量: 2147发表: 1978年 The Representation Theory of the Symmet...
Two main results of this paper are singled out. Thefirst one relates to therepresentation theory of symmetric groups. Thesecond one deals with varieties of Lie algebras over afield of characteristic zero. Thefirst result can be presented as follows: given asymmetric group of sufficiently large deg...
Application to the representation theory of symmetric and alternating groupsCharacters of wreath products.- An application to representation theory: Symmetrization of inner tensor products of representations.- An application to combinatorics: The theory of enumeration under group action....
Representations of Wreath Products and Applications to the Representation Theory of Symmetric and Alternating Groups Book ©1971 Overview Authors: Adalbert Kerber Part of the book series:Lecture Notes in Mathematics(LNM, volume 240) 3375Accesses ...
The orthogonal and the natural representation for symmetric groups - Wu, Zhang - 1994 () Citation Context ...oximate matrix elements of certain irreducible representations of the symmetric group. The problem of computing explicit irreducible representations of the symmetric group has been studied ...
Although ordinary representations of the symmetric group are a well-understood subject, the modular representations of such groups still have many open problems. This book gives a self-contained introduction to the modular representation theory of the Iwahori-Hecke algebras of the symmetric groups which...
We apply the ideas of derived algebraic geometry and topological field theory to the representation theory of reductive groups. Our focus is the Hecke category of Borel-equivariant D-modules on the flag variety of a complex reductive group G (equivalently, the category of Harish Chandra bimodules ...
Schur–Weyl duality, the space VN⊗F and the symmetric group are three major abstract concepts that appear in our study and commonly encountered in the study of the AdS/CFT correspondence [26]. A first suggestion exploiting these abstract concepts and using representation theory to study this ...