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Loop Spaces, Characteristic Classes and Geometric Quantization
- J. Brylinski
- Mathematics
- 1 April 1994
This book deals with the differential geometry of manifolds, loop spaces, line bundles and groupoids, and the relations of this geometry to mathematical physics. Recent developments in mathematical… Expand
A differential complex for Poisson manifolds
- J. Brylinski
- Mathematics
- 1988
Construction du complexe canonique d'une variete de Poisson. Homologie canonique des varietes symplectiques. Application a l'homologie de Hochschild des algebres non commutatives
Central extensions of reductive groups by K2
- J. Brylinski, P. Deligné
- Mathematics
- 1 December 2001
Universal quantum gates
- J. Brylinski, R. Brylinski
- Physics, Mathematics
- 13 August 2001
In this paper we study universality for quantum gates acting on qudits.Qudits are states in a Hilbert space of dimension d where d is at least two. We determine which 2-qudit gates V have the… Expand
Cyclic cohomology of etale groupoids
- J. Brylinski
- Mathematics
- 1 July 1994
We extend Connes’s computation of the cyclic cohomology groups of smooth algebras arising from foliations with separated graphs. We find that the characteristic classes of foliations factor through… Expand
The geometry of degree-four characteristic classes and of line bundles on loop spaces I
- J. Brylinski, D. Mclaughlin
- Mathematics
- 1 September 1994
The Spectrum of Certain Invariant Differential Operators Associated to a Hermitian Symmetric Space *
Library of Congress Cataloging In-Publication Data Lie theory and geometry : in honor of Bertram Kostant / Jean-Luc Brylinski... [et al.], editors. p. cm. (Progress in mathematics ; v. 123) Invited… Expand
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Kazhdan-Lusztig conjecture and holonomic systems
- J. Brylinski, M. Kashiwara
- Mathematics
- 1 October 1981
In [7], D. Kazhdan and G. Lusztig gave a conjecture on the multiplicity of simple modules which appear in a Jordan-H61der series of the Verma modules. This multiplicity is described in the terms of… Expand
Lie theory and geometry : in honor of Bertram Kostant
- M. Atiyah, J. Brylinski, R. Brylinski, V. Guillemin, V. Kac
- Mathematics
- 1 July 1997
This volume, dedicated to Kostant on his 65th birthday, is a collection of 22 papers by international leaders in the fields of Lie theory, geometry, algebra and math physics. The papers broadly… Expand
Differential operators on homogeneous spaces. I
- W. Borho, J. Brylinski
- Mathematics
- 1 October 1982
SummaryIn this paper, we extend recent work of one of us [Br] to investigate an old problem of the other one [B2]. Given a connected semisimple complex Lie-groupG with Lie-algebrag, we study the… Expand
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