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Graded decomposition numbers for the blob algebra
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA, 2013)
G-systems and deformation of G-actions on ’R POT.D’
(American Institute of PhysicsMelville, 2014-01)
Given a (smooth) action φ of a Lie group G on 'R POT.D' we construct a differential graded algebra whose Maurer–Cartan elements are in one-to-one correspondence with some class of deformations of the (induced) G-action ...
Algebraic constructions of densest lattices
(Elsevier B.V., 2015-05-01)
The aim of this paper is to investigate rotated versions of the densest known lattices in dimensions 2, 3, 4, 5, 6, 7, 8, 12 and 24 constructed via ideals and free Z-modules that are not ideals in subfields of cyclotomic ...
Discriminants of polynomials and of quadratic forms
(1981)
In this paper we describe the quadratic forms over any field k which admit a similarity with a given separable characteristic polynomial f(X) as the transfer of some binary quadratic form associated to the polynomial f(X). ...
Hilbert symbols, class groups and quaternion algebras
(Universite de Bordeaux I, 2000)
© Université Bordeaux 1, 2000. tous droits réservés.Let B be a quaternion algebra over a number field k. To a pair of Hilbert symbols {a, b} and {c, d} for B we associate an invariant ρ = ρR([D(a, b)], [D(c, d)]) in a ...
Pure Spinors in AdS and Lie Algebra Cohomology
(Springer, 2014-10-01)
We show that the BRST cohomology of the massless sector of the Type IIB superstring on AdS(5) x S (5) can be described as the relative cohomology of an infinite-dimensional Lie superalgebra. We explain how the vertex ...
ALGEBRAIC AND GEOMETRIC THEORY OF THE TOPOLOGICAL RING OF COLOMBEAU GENERALIZED FUNCTIONS
(CAMBRIDGE UNIV PRESS, 2008)
We continue the investigation of the algebraic and topological structure of the algebra of Colombeau generalized functions with the aim of building up the algebraic basis for the theory of these functions. This was started ...
Trace class operators, regulators, and assembly maps in K-theory
(Univ Bielefeld, 2014)
Let G be a group and let KH be homotopy algebraic K-theory. We prove that if G satisfies the rational KH isomorphism conjecture for the group algebra L 1 [G] with coefficients in the algebra of trace-class operators in ...
Characterization of 9-dimensional Anosov Lie Algebras
(Heldermann Verlag, 2015-09)
The classification of all real and rational Anosov Lie algebras up to dimension 8 is given by Lauret and Will. In this paper we study 9 -dimensional Anosov Lie algebras by using the properties of very special algebraic ...