Abstract A block character of a finite symmetric group is a positive definite function which depends only on the number of cycles in a permutation. We describe the cone of block characters by identifying its extreme rays, and find relations of the characters to descent representations and the co...
A more complete version of the results in this abstract can be found in {\tt }.doi:10.1016/j.aim.2021.107943Orellana, RosaZabrocki, MikeMathematicsOrellana, R., Zabrocki, M.: Symmetric group characters as symmetric functions, arXiv:1605.06672...
Abstract Let FG be the group algebra of a group G without 2-elements over a field F of characteristic p≠ 2 endowed with the canonical involution induced from the map g ↦ g–1, g∈ G. Let (FG)– and (FG)+ be the sets of skew and symmetric elements of FG, respectively, and ...
Finite Dimensional Hopf Algebras Over the Dual Group Algebra of the Symmetric Group in Three Letters We classify finite-dimensional Hopf algebras whose coradical is isomorphic to the algebra of functions on 3. We describe a new infinite family of Hopf alge... N Andruskiewitsch,C Vay - 《Commu...
The center of the Lie group SU(n) is isomorphic to Kudo,S. - 《Bulletin of the Korean Mathematical Society》 被引量: 0发表: 2013年 Mini-Workshop: Modular Representations of Symmetric Groups and Related Objects The mini-workshop focussed on the modular representation theory of the symmetric ...
These are given in terms of clannish strings and bands. However, despite their name, clannish strings and bands have key differences with the strings and bands one would see in a special multiserial algebra. In this section, we will provide a brief summary on the representation theory of ...
agivencombinatorialHopfalgebraastheGrothendieckHopfalgebraofatowerof algebras. TheprototypicalexampleistheHopfalgebraofsymmetricfunctionsviewed,via theFrobeniuscharacteristicmap,astheGrothendieckHopfalgebrasofthemodules ofallsymmetricgroupalgebraskS n forn≥0.Themultiplicationisgivenvia inductionfromkS n ⊗kS m tok...
Abstract A graph Γ is said to be symmetric if its automorphism group Aut(Γ) is transitive on the arc set of Γ. Let G be a finite non-abelian simple group and let Γ be a connected pentavalent symmetric graph with G≤Aut(Γ). In this paper, we show that if G is transitive on ...
Nari, H.: Symmetries on almost symmetric numerical semigroups. Semigroup Forum 86, 140–154 (2013) Article MathSciNet MATH Google Scholar Nari, H., Numata, T., Watanabe, K.-I.: Genus of numerical semigroups generated by three elements. J. Algebra 358, 67–73 (2012) Article MathSci...
Abstract We give an explicit expression of the normalized characters of the symmetric group in terms of the “contents” of the partition labelling the representation. This is a preview of subscription content, log in via an institution to check access. Similar content being viewed by others The...