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Grupos de Coxeter y bimódulos de Soergel
(2018-03)
En este trabajo se introducen los grupos de Coxeter para un estudio combinatorio de los mismos a través del Orden de Bruhat. A continuación se establecen definiciones y resultados básicos de la Teoría de Kazhdan-Lusztig ...
Funções de Igusa-TodorovIgusa-Todorov functions
(Universidade Federal de Viçosa, 2018)
Presentations of trivial extensions of finite dimensional algebras and a theorem of Sheila Brenner
(Academic Press Inc Elsevier Science, 2002-03-15)
Let Λ be a finite dimensional algebra over an algebraically closed field such that any oriented cycle in the ordinary quiver of Λ is zero in Λ. We describe the ordinary quiver and relations for T(Λ) = Λ ⋉ D(Λ), the trivial ...
Character formulas and Bernstein Gelfand Gelfand resolutions for Cherednik algebra modules
(2016)
We study blocks of category O for the Cherednik algebra having the property that every irreducible module in the block admits a BGG resolution, and as a consequence prove a character formula conjectured by Oblomkov-Yun.
Representations of Generalized Almost-Jordan Algebras
(Taylor and Francis Inc., 2015)
© 2015, Copyright Taylor & Francis Group, LLC. This paper deals with the variety of commutative algebras satisfying the identity β{(yx <sup>2</sup>)x − ((yx)x)x} + γ{yx <sup>3</sup> − ((yx)x)x} = ...
SOME RESULTS ON PRIME AND PRIMARY SUBMODULES
(Universidad Católica del Norte, Departamento de Matemáticas, 2003)
On modules over matrix quantum pseudo-differential operators
(Springer, 2002-04)
We classify all the quasifinite highest-weight modules over the central extension of the Lie algebra of matrix quantum pseudo-differential operators, and obtain them in terms of representation theory of the Lie algebra ...
The Brauer-Picard group of the representation category of finite supergroup algebras
(2014)
We develop further the techniques presented in a previous article (M. Mombelli. Abh. Math. Semin. Univ. Hamb. 82 (2012), 173–192), to study bimodule categories over the representation categories of arbitrary finite-dimensional ...
The structure of smooth algebras in Kapranov's framework for noncommutative geometry
(Academic Press Inc Elsevier Science, 2004-11)
In Kapranov, M. Noncommutative geometry based on commutator expansions, J. reine angew. Math 505 (1998) 73-118, a theory of noncommutative algebraic varieties was proposed. Here we prove a structure theorem for the ...
Unitary quasifinite representations of W_{\infty}
(Springer, 2000-01)
We classify the unitary quasi-finite highest-weight modules over the Lie algebra W and realize them in terms of unitary highest-weight representations of the Lie algebra of infinite matrices with finitely many nonzero diagonals.