3 citations · 3 across the 5 of their papers we have counts for
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Quantum McKay Correspondence and Equivariant Sheaves on the Quantum Projective Line
Alexander Kirillov, Jaimal Thind
In this paper, using the quantum McKay correspondence, we construct the "derived category" of G-equivariant sheaves on the quantum projective line at a root of unity. More precisel…
Quiver Representations in the Super-Category and Gabriel's Theorem for A(m,n)
Jaimal Thind
Gabriel's Theorem, and the work of Bernstein, Gelfand and Ponomarev established a connection between the theory of quiver representations and the theory of simple Lie algebras. Lie…
Categorical construction of A,D,E root systems
Alexander Kirillov, Jaimal Thind
Let Γbe a Dynkin diagram of type A,D,E and let R denote the corresponding root system. In this paper we give a categorical construction of R from Γ. Instead of choosing an orientat…
Coxeter Elements and Root Bases
Alexander Kirillov, Jaimal Thind
Let g be a Lie algebra of type A,D,E with fixed Cartan subalgebra h, root system R and Weyl group W. We show that a choice of Coxeter element C gives a root basis for g. Moreover w…
Coxeter Elements and Periodic Auslander-Reiten Quiver
Alexander Kirillov, Jaimal Thind
In this paper we show that for a simply-laced root system a choice of gives rise to a natural construction of the Dynkin diagram, in which vertices of the diagram correspond to…