This book gives a systematic account of the structure and representation theory of finite-
dimensional complex Lie superalgebras of classical type and serves as a good introduction …

We formulate and establish a super duality which connects parabolic categories O for the
ortho-symplectic Lie superalgebras and classical Lie algebras of BCD types. This provides a …

We give a new combinatorial interpretation of Howe dual pairs of the form (g, Sp 2 ℓ), where
g is a Lie (super) algebra of classical type. This is done by establishing a symplectic …

In [1](Z. Tsuboi, Nucl. Phys. B 826 (2010) 399, arXiv: 0906.2039), we proposed Wronskian-
like solutions of the T-system for [M, N]-hook of the general linear superalgebra gl (M| N). We …

For a finite dimensional representation V of a finite reflection group W, we consider the
rational Cherednik algebra H t, c (V, W) associated with (V, W) at the parameters t≠ 0 and c …

Let X be a smooth projective curve over a finite field. We describe H, the full Hall algebra of
vector bundles on X, as a Feigin–Odesskii shuffle algebra. This shuffle algebra corresponds …

We introduce a semisimple tensor category of modules over a quantum ortho-symplectic
superalgebra. It is a natural counterpart of the category of finitely dominated integrable …

In recent work, we examined the algebraic structure underlying a class of elements
supercommuting with realization of the Lie superalgebra $\mathfrak {osp}(1| 2) $ inside a …

We give new combinatorial formulas for decomposition of the tensor product of integrable
highest weight modules over the classical Lie algebras of types $ B, C, D $, and the …

Conformal symmetries of the super Dirac operator Page 1 Rev. Mat. Iberoam. 31 (2015), no. 2,
373–410 doi 10.4171/rmi/838 c European Mathematical Society Conformal symmetries of the …