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We classify twisted conjugacy classes in loop groups, restricted to classical groups. The main tool we used is the so-called D_q module, an object which is related to vector bundles over elliptic curv...
On Extending the Langlands-Shahidi Method to Arithmetic Quotients of Loop Groups
automorphic L-functions Eisenstein series loop groups
2010/12/10
We discuss certain Eisenstein series on arithmetic quotients of loop groups, ˆG , which are associated to cusp forms on finite-dimensional groups associated with maximal parabolics of ˆG .
Weighted Traces on Algebras of Pseudo-Differential Operators and Geometry of Loop Groups
Algebras Pseudo-Differential Operators Geometry of Loop Groups
2010/10/29
Using {\it weighted traces} which are linear functionals of the type $$A\to tr^Q(A):=(tr(A Q^{-z})-z^{-1} tr(A Q^{-z}))_{z=0}$$ defined on the whole algebra of (classical) pseudo-differential operato...
Weighted Traces on Algebras of Pseudo-Differential Operators and Geometry of Loop Groups
Algebras Pseudo-Differential Operators Geometry of Loop Groups
2010/10/29
Using {\it weighted traces} which are linear functionals of the type $$A\to tr^Q(A):=(tr(A Q^{-z})-z^{-1} tr(A Q^{-z}))_{z=0}$$ defined on the whole algebra of (classical) pseudo-differential operator...