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The Ptolemy coordinates for boundary-unipotent SL(n; C)-representations of a 3-manifold group were introduced in [7] inspired by the A-coordinates on higher Teichmuller space due to Fock and Goncha...
1.1. Positive de nite functions. We start with the classical notion of positive de nite functions. De nition. A continuous function f : R 􀀀! C is called positive de nite if it satis es (1...
We develop Fenchel-Nielsen coordinates for representations of surface groups into Sp(2n,R) with maximal Toledo invariant. Analogous to classical Fenchel-Nielsen coordinates on the Teichm\"uller space ...
Abstract: We explain how Lie algebroid modules in the sense of Vaintrob provide geometric models for Lie algebroid representations up to homotopy. Specifically, we show that there is a noncanonical wa...
The purpose of the present note is to contribute in clarifying the relation between representation bases used in the closure for the redistribution (pressure-strain) tensor fi j , and to propose a rep...
The category of representations of a Dynkin quiver over local ring R = k[t]/(tn) is not hereditary any more. The Hall algebra defined on this category doesn’t have a well defined coalgebraic structure...
Transmission matrices for two types of integrable defect are calculated explicitly, first by solving directly the nonlinear transmission Yang-Baxter equations.
In geometric representation theory, one often wishes to describe representations realized on spaces of invariant functions as trace functions of equivariant perverse sheaves. In the case of principal...
We derive bridges from general multidimensional linear non time-homogeneous processes using only the transition densities of the original process giving their integral representations (in terms of a s...
We study the construction of tensor products of representations up to homotopy, which are the A∞ version of ordinary representations. We provide formulas for the construction of tensor products of r...
We discuss the category I of level zero integrable representations of loop algebras and their generalizations. The category is not semisimple and so one is interested in its homological properties.
For a countable group 􀀀 and a multiplier  ∈ Z2(􀀀,T),we study the property of 􀀀 having a unitary projective -representation which is both irreducible and projectively faith...

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