Abstract The two Rogers–Ramanujan q-series∑ n= 0∞ qn (n+ σ)(1− q)⋯(1− qn), where σ=
0, 1, play many roles in mathematics and physics. By the Rogers–Ramanujan identities, they …

We describe a method, based on the theory of Macdonald–Koornwinder polynomials, for
proving bounded Littlewood identities. Our approach provides an alternative to Macdonald's …

We prove a number of quadratic transformations of elliptic Selberg integrals (conjectured in
an earlier paper of the author), as well as studying in depth the''interpolation kernel'', an …

Abstract The Weyl–Kac character formula gives a beautiful closed-form expression for the
characters of integrable highest-weight modules of Kac–Moody algebras. It is not, however …

The permutation representation afforded by a Coxeter group W acting on the cosets of a
standard parabolic subgroup inherits many nice properties from W such as a shellable …

We prove Macdonald-type deformations of a number of well-known classical branching
rules by employing identities for elliptic hypergeometric integrals and series. We also …

We prove analogues for elliptic interpolation functions of Macdonaldʼs version of the
Littlewood identity for (skew) Macdonald polynomials, in the process developing an …

A bstract In a recent work, restricted Schur polynomials have been argued to form a
complete orthogonal set of gauge invariant operators for the 1/4-BPS sector of free\(\mathcal …

We focus on the 1/4-BPS sector of free super Yang-Mills theory with an SO (N) gauge group.
This theory has an AdS/CFT (an equivalence between a conformal field theory in d-1 …

It is well known that if one integrates a Schur function indexed by a partition λ over the
symplectic (resp. orthogonal) group, the integral vanishes unless all parts of λ have even …