We develop an elementary algebraic method to compute the center of the principal block of a small quantum group associated with a complex semisimple Lie algebra at a root of unity. The exemplary case of sl_3 is computed explicitly, and further evidence of sl_4 is sketched. This allows us to formulate the conjecture that, as a bigraded vector space, the center of a regular block of the small quantum sl_m at a root of unity is isomorphic to Haiman's diagonal coinvariant algebra for the symmetric group S_m
It is proved that the centre Z of the simply connected quantised universal enveloping algebra over C...
AbstractUsing the quantum Fourier transform F, we describe the block decomposition and multiplicativ...
In this paper we apply the theory of the quantum groups Uq(g), and of the small quantum groups uq(g)...
We develop an elementary algebraic method to compute the center of the principal block of a small qu...
We develop an elementary algebraic method to compute the center of the principal block of a small qu...
We develop an elementary algebraic method to compute the center of the principal block of a small qu...
We generalize to the case of singular blocks the result in Bezrukavnikov and Lachowska [Quantum grou...
We generalize to the case of singular blocks the result in Bezrukavnikov and Lachowska [Quantum grou...
We generalize to the case of singular blocks the result in Bezrukavnikov and Lachowska [Quantum grou...
Let u(q)(g) be the small quantum group associated with a complex semisimple Lie algebra g and a prim...
The small quantum group is a finite-dimensional Hopf subalgebra in the Lusztig's specialisation of t...
The small quantum group is a finite-dimensional Hopf subalgebra in the Lusztig's specialisation of t...
(so3) is demonstrated. The approach presented here is successful in other cases of quantum algebras ...
We categorify one half of the small quantum sl(2) at a prime root of unity. An extension of this con...
We categorify one half of the small quantum sl(2) at a prime root of unity. An extension of this con...
It is proved that the centre Z of the simply connected quantised universal enveloping algebra over C...
AbstractUsing the quantum Fourier transform F, we describe the block decomposition and multiplicativ...
In this paper we apply the theory of the quantum groups Uq(g), and of the small quantum groups uq(g)...
We develop an elementary algebraic method to compute the center of the principal block of a small qu...
We develop an elementary algebraic method to compute the center of the principal block of a small qu...
We develop an elementary algebraic method to compute the center of the principal block of a small qu...
We generalize to the case of singular blocks the result in Bezrukavnikov and Lachowska [Quantum grou...
We generalize to the case of singular blocks the result in Bezrukavnikov and Lachowska [Quantum grou...
We generalize to the case of singular blocks the result in Bezrukavnikov and Lachowska [Quantum grou...
Let u(q)(g) be the small quantum group associated with a complex semisimple Lie algebra g and a prim...
The small quantum group is a finite-dimensional Hopf subalgebra in the Lusztig's specialisation of t...
The small quantum group is a finite-dimensional Hopf subalgebra in the Lusztig's specialisation of t...
(so3) is demonstrated. The approach presented here is successful in other cases of quantum algebras ...
We categorify one half of the small quantum sl(2) at a prime root of unity. An extension of this con...
We categorify one half of the small quantum sl(2) at a prime root of unity. An extension of this con...
It is proved that the centre Z of the simply connected quantised universal enveloping algebra over C...
AbstractUsing the quantum Fourier transform F, we describe the block decomposition and multiplicativ...
In this paper we apply the theory of the quantum groups Uq(g), and of the small quantum groups uq(g)...