There are various generalizations of bialgebras to their “many object ” versions, such as quantum categories, bialgebroids and weak bialgebras. These can also be thought of as quantum analogues of small categories. In this paper we study modules over these structures, which are quantum analogues of profunctors (also called distributors) between small categories.
AbstractIn this article we study the structure of highest weight modules for quantum groups defined ...
A general result relating skew monoidal structures and monads is proved. This is applied to quantum ...
W-algebras are a class of non-commutative algebras related to the classical universal enveloping alg...
Quantum categories were introduced in [5] as generalizations of both bi(co)algebroids and small cate...
Quantum categories were introduced in [4] as generalizations of both bi(co)algebroids and small cate...
AbstractThis paper describes various constructions, on a given bialgebra B, producing bialgebras wit...
AbstractA definition of a Doi–Koppinen datum over a noncommutative algebra is proposed. The idea is ...
A useful general concept of bialgebroid seems to be resolving itself in recent publications; we give...
Categorified quantum groups play an increasing role in many areas of mathematics. The Steenrod algeb...
The category of finite dimensional modules over the quantum superalgebra Uq(2|1) is not semi-simple ...
AbstractLet g be a semi-simple simply-connected Lie algebra and let Uℓ be the corresponding quantum ...
A definition of a Doi-Koppinen datum over a noncommutative algebra is proposed. The idea is to repla...
The module categories of Khovanov-Lauda-Rouquier algebras categorify the integral form of the negati...
The author is grateful to Y. Kremnizer for useful discussions and to the referee for careful reading...
The category of finite dimensional modules over the quantum superalgebra Uq����(2|1) is not semi-sim...
AbstractIn this article we study the structure of highest weight modules for quantum groups defined ...
A general result relating skew monoidal structures and monads is proved. This is applied to quantum ...
W-algebras are a class of non-commutative algebras related to the classical universal enveloping alg...
Quantum categories were introduced in [5] as generalizations of both bi(co)algebroids and small cate...
Quantum categories were introduced in [4] as generalizations of both bi(co)algebroids and small cate...
AbstractThis paper describes various constructions, on a given bialgebra B, producing bialgebras wit...
AbstractA definition of a Doi–Koppinen datum over a noncommutative algebra is proposed. The idea is ...
A useful general concept of bialgebroid seems to be resolving itself in recent publications; we give...
Categorified quantum groups play an increasing role in many areas of mathematics. The Steenrod algeb...
The category of finite dimensional modules over the quantum superalgebra Uq(2|1) is not semi-simple ...
AbstractLet g be a semi-simple simply-connected Lie algebra and let Uℓ be the corresponding quantum ...
A definition of a Doi-Koppinen datum over a noncommutative algebra is proposed. The idea is to repla...
The module categories of Khovanov-Lauda-Rouquier algebras categorify the integral form of the negati...
The author is grateful to Y. Kremnizer for useful discussions and to the referee for careful reading...
The category of finite dimensional modules over the quantum superalgebra Uq����(2|1) is not semi-sim...
AbstractIn this article we study the structure of highest weight modules for quantum groups defined ...
A general result relating skew monoidal structures and monads is proved. This is applied to quantum ...
W-algebras are a class of non-commutative algebras related to the classical universal enveloping alg...