3 citations · 6 across the 3 of their papers we have counts for
4 papers
Quantum Algebras Associated to Irreducible Generalized Flag Manifolds
Matthew Tucker-Simmons
The first part of this thesis deals with certain properties of the quantum symmetric and exterior algebras of Type 1 representations of defined by Berenstein and Zwicknagl…
On the Dolbeault--Dirac Operator of Quantized Symmetric Spaces
Ulrich Kraehmer, Matthew Tucker-Simmons
The Dolbeault complex of a quantized compact Hermitian symmetric space is expressed in terms of the Koszul complex of a braided symmetric algebra of Berenstein and Zwicknagl. This…
*-Structures on Module-Algebras
Matthew Tucker-Simmons
This chapter lays out a framework for discussing (\ast)-structures on module-algebras over a Hopf (\ast)-algebra (H). We define a complex conjugation functor (V \mapsto \bar{V}), w…
Remarks on Quantum Symmetric Algebras
Alexandru Chirvasitu, Matthew Tucker-Simmons
We examine the quantum symmetric and exterior algebras of finite-dimensional \uqg-modules first systematically studied by Berenstein and Zwicknagl, and resolve some questions that…