$S$-operations in representation theory

ON THE USE OF KULSHAMMER TYPE INVARIANTS IN REPRESENTATION THEORY

Since 2005 a new powerful invariant of an algebra has emerged using the earlier work of Horvath, Hethelyi, Kulshammer and Murray. The authors studied Morita invariance of a sequence of ideals of the center of a nite dimensional algebra over a eld of nite characteristic. It was shown that the sequence of ideals is actually a derived invariant, and most recently a slightly modied version o...

Steven Byrnes 1 REPRESENTATION THEORY OF S n Steven Byrnes

We use Young tableaux and Young symmetrizers to classify the irreducible representations over C of the symmetric group on n letters, Sn. We establish an isomorphism between a ring of all representations of finite symmetric groups and the ring of symmetric functions, and, as a corollary, prove the Frobenius formula for the characters of representations of Sn. We use the theory thus developed to ...

A Combinatorial Introduction to the Representation Theory of S n

Quantum Sl(3,c)’s with Classical Representation Theory

We study and classify almost all quantum SL(3, C)’s whose representation theory is “similar” to that of the (ordinary) group SL(3, C). Only one case, related to smooth elliptic curves, could not be treated completely.

Inheritance Operations in Massively Parallel Knowledge Representation