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math-ph2011★ 2 cited
Solutions of Several Coupled Discrete Models in terms of Lame Polynomials of Arbitrary Order
Avinash Khare, Avadh Saxena, Apoorva Khare
Coupled discrete models abound in several areas of physics. Here we provide an extensive set of exact quasiperiodic solutions of a number of coupled discrete models in terms of Lam…
math.RT2011★ 13 cited
Faces of polytopes and Koszul algebras
Vyjayanthi Chari, Apoorva Khare, Tim Ridenour
Let $\g$ be a reductive Lie algebra and a $\g$-semisimple module. In this article, we study the category $\G$ of graded finite-dimensional representations of $\g \ltimes V$. We…