We study the diagram alphabet of knot moves associated with the character rings of certain matrix groups. The primary object is the Hopf algebra Char-GL of characters of the finite dimensional polynomial representations of the complex group GL(n) in the inductive limit, realised as the ring of...
The purpose of this paper is two fold: we study the behaviour of the forgetful functor from S-modules to graded vector spaces in the context of algebras over an operad and derive from this theory the construction of combinatorial Hopf algebras. As a byproduct we obtain freeness and cofreene...
We also analyse the formal character rings Char-H of algebraic subgroups of , comprised of matrix transformations leaving invariant a fixed but arbitrary tensor of Young symmetry type , which have been introduced earlier (Fauser et al.) (these include the orthogonal and symplectic groups as ...
Hopf quivers and Nichols algebras in positive characteristic 2009, Proceedings of the American Mathematical Society Quantum complete rings and blocks with one simple module 2005, Quarterly Journal of Mathematics Generalized taft algebras 2004, Algebra Colloquium Non-principal blocks with one simple module ...
CoalgebrasQuantum groupsRepresentations of Hopf algebrasA fundamental example of a pointed Hopf algebra is the universal enveloping algebra of a Lie algebra. This example finds its generalization in quantum groups. The class of pointed Hopf algebras is rather extensive and has been the subject of ...
We would like to be a bit more focused and consider what sort of questions regarding simple tree classes come naturally from the physics and what sort of mathematical insights about simple tree classes give physically interesting results.doi:10.1007/978-3-319-47551-6_7Karen Yeats...
We also discuss diagonal realizations of such braided Hopf algebras in the category of Yetter–Drinfeld modules over a finite group. 关键词: 16W30 DOI: 10.1016/S0022-4049(03)00017-3 被引量: 14 年份: 2003 收藏 引用 批量引用 报错 分享 ...
He was a Trustee Chair and Professor of mathematics at Northwestern University.He was born on 27 December 1950 in St. Petersburg, Russia. He received his PhD from Leningrad University in 1974; his thesis was titled Projective modules over polynomial rings.In 1976 he and Daniel Quillen...
Matrix Algebras over Strongly Non-Singular Rings We consider some existing results regarding rings for which the classes of torsion-free and non-singular right modules coincide. Here, a right $R$-module $... B Mcquaig 被引量: 0发表: 2016年 Asymptotic statistics on stratified spaces: mini-wor...
The concept of biperfect (noncocommutative) weak Hopf algebras is introduced and their properties are discussed. A new type of quasi-bicrossed products are constructed by means of weak Hopf skew-pairs of the weak Hopf algebras which are generalizations o