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 …

Let \mathfrakg=\mathfrakg_̄0⊕\mathfrakg_̄1 be a classical Lie superalgebra and
\mathcalF be the category of finite-dimensional \mathfrakg-supermodules which are …

We study solutions of the Bethe ansatz equations associated to the orthosymplectic Lie
superalgebras osp _ 2m+ 1| 2n osp 2 m+ 1| 2 n and osp _ 2m| 2n osp 2 m| 2 n. Given a …

We provide a systematic approach to obtain formulas for characters and Kostant u-homology
groups of the oscillator modules of the finite-dimensional general linear and ortho …

We prove that the Lakshmibai–Seshadri paths fixed by a diagram automorphism ω of a Kac–
Moody algebra can be identified with the Lakshmibai–Seshadri paths for the orbit Lie …

We prove that the cohomology ring of a finite-dimensional restricted Lie superalgebra over a
field of characteristic $ p> 2$ is a finitely-generated algebra. Our proof makes essential use …

We construct and investigate the structure of the Khovanov-Lauda–Rouquier algebras R
and their cyclotomic quotients Rλ which give a categorification of quantum generalized Kac …

Abstract We construct a Bernstein–Gelfand–Gelfand type resolution in terms of direct sums
of Kac modules for the finite-dimensional irreducible tensor representations of the general …

Geometric construction of crystal bases for quantum generalized Kac–Moody algebras Page 1
Advances in Mathematics 222 (2009) 996–1015 www.elsevier.com/locate/aim Geometric …

Using Howe duality, we compute explicitly Kostant-type homology groups for a wide class of
representations of the infinite-dimensional Lie superalgebra gl_∞|∞ and its classical …