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Dualities and Representations of Lie Superalgebras
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 to representation
Graded Specht modules
Abstract Recently, the first two authors have defined a ℤ-grading on group algebras of symmetric groups and more generally on the cyclotomic Hecke algebras of type G(l, 1, d). In this paper we
Vertex Operator Superalgebras and Their Representations
After giving some definitions for vertex operator SUPERalgebras and their modules, we construct an associative algebra corresponding to any vertex operator superalgebra, such that the representations
Rationality of Virasoro Vertex Operator Algebras Weiqiang Wang
Vertex operator algebras (VOA) were introduced by Borcherds ( [B] ) as an axiomatic description of the ‘holomorphic part’ of a conformal field theory ( [BPZ] ). An account of the theory of vertex
A New Approach to Kazhdan-lusztig Theory of Type $b$ Via Quantum Symmetric Pairs
We show that Hecke algebra of type B and a coideal subalgebra of the type A quantum group satisfy a double centralizer property, generalizing the Schur-Jimbo duality in type A. The quantum group of
Representations of Lie superalgebras in prime characteristic I
We initiate the representation theory of restricted Lie superalgebras over an algebraically closed field of characteristic p > 2. A superalgebra generalization of the celebrated Kac–Weisfeiler
Vertex algebras and the cohomology ring structure of Hilbert schemes of points on surfaces
Abstract. Using vertex algebra techniques, we determine a set of generators for the cohomology ring of the Hilbert schemes of points on an arbitrary smooth projective surface over the field of
Algebra, Algebra, and Friedan–Martinec–Shenker Bosonization
Abstract:We show that the vertex algebra with central charge − 1 is isomorphic to a tensor product of the simple algebra with central charge − 2 and a Heisenberg vertex algebra generated by a free
Equivariant K-Theory, Generalized Symmetric Products, and Twisted Heisenberg Algebra
Abstract: For a space X acted on by a finite group Γ, the product space Xn affords a natural action of the wreath product Γn=Γn⋊Sn. The direct sum of equivariant K-groups were shown earlier by the