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20022009
most citedDyadic Green's Functions and Guided Surface Waves for a Surface Conductivity Model of Graphene

3k citations

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7 papers · 1 filter

math.RT20088 cited

Hochschild Cohomology and Deformations of Clifford-Weyl Algebras

Ian M. Musson, Georges Pinczon, Rosane Ushirobira

We give a complete study of the Clifford-Weyl algebra from Bose-Fermi statistics, including Hochschild cohomology (with coefficients in itself). We show that $…

math.RT2006

A generating function for Blattner's formula

Jeb F. Willenbring, Gregg J. Zuckerman

Let G be a connected, semisimple Lie group with finite center and let K be a maximal compact subgroup. We investigate a method to compute multiplicities of K-types in the discrete…

math.RT20065 cited

Spherical functions on homogeneous superspaces

Ruibin Zhang, Yi Ming Zou

Homogeneous superspaces arising from the general linear supergroup are studied within a Hopf algebraic framework. Spherical functions on homogeneous superspaces are introduced, and…

math.RT20055 cited

Noncommutative Deformations of Type A Kleinian Singularities and Hilbert Schemes

Ian M. Musson

Let be a symplectic reflection algebra corresponding to a cyclic subgroup $Γ\subseteq SL_2 \C$ of order and the spherical…

math.RT2004

Lie Superalgebras, Clifford Algebras, Induced Modules and Nilpotent Orbits

Ian M. Musson

Let $\FRAK{g}$ be a classical simple Lie superalgebra. To every nilpotent orbit in $\FRAK{g}_0$ we associate a Clifford algebra over the field of rational functions on $\c…

math.RT2003

Stable branching rules for classical symmetric pairs

Roger E. Howe, Eng Chye Tan, Jeb F. Willenbring

We approach the problem of obtaining branching rules from the point of view of dual reductive pairs. Specifically, we obtain a stable branching rule for each of 10 classical famili…