11 citations · 11 across the 3 of their papers we have counts for
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Iwahori-Hecke type algebras associated with the Lie superalgebras A(m,n), B(m,n), C(n) and D(m,n)
Hiroyuki Yamane
In this paper we give Iwahori-Hecke type algebras H_q(g) associated with the Lie superalgebras g=A(m,n), B(m,n), C(n) and D(m,n). We classify the irreducible representations of H_q…
Drinfel'd doubles and Shapovalov determinants
I. Heckenberger, H. Yamane
The Shapovalov determinant for a class of pointed Hopf algebras is calculated, including quantized enveloping algebras, Lusztig's small quantum groups, and quantized Lie superalgeb…
A finite number of defining relations and a UCE theorem of the elliptic Lie algebras and superalgebras with rank
Hiroyuki Yamane
In this paper, we give a finite number of defining relations satisfied by a finite number of generators for the elliptic Lie algebras and superalgebras with rank $\ge…
Murnaghan-Nakayama Rules for the Characters of the Wenzl (k,l)-Representations of the Iwahori-Hecke Algebras of type A
Hiroyuki Yamane
This paper has been withdrawn by the author because he was informed of the following paper: Cummins C. and King R. C., An algorithm for calculating characters of Hecke algebras Hn…