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Standard cocycles: Variations on themes of C. Kassel's and R. Wilson's
(De Gruyter, 2017-11)
Central extensions of Lie algebras can be understood and classified by means of 2-cocycles. The Lie algebras we are interested in are "twisted forms" (defined by Galois descent) of algebras of the form g⊗ kR with g split ...
Lie-algebra expansions, Chern–Simons theories and the Einstein–Hilbert Lagrangian
(Elsevier B.V., 2007)
Stiefel and Grassmann manifolds in quantum chemistry
(Elsevier Science, 2012-08)
We establish geometric properties of Stiefel and Grassmann manifolds which arise in relation to Slater type variational spaces in many-particle Hartree-Fock theory and beyond. In particular, we prove that they are analytic ...
Invariant control sets on flag manifolds and ideal boundaries of symmetric spaces
(Heldermann VerlagLemgoAlemanha, 2003)
Graded polynomial identities for the Lie algebra sl(2)(K)
(World Scientific Publ Co Pte LtdSingaporeSingapura, 2008)
On Some Families Of Modules For The Current Algebra
(SpringerDordrecht, 2017)
An Invitation To Modern Group Analysis Of Differential Equations
(PERGAMON-ELSEVIER SCIENCE LTDOXFORD, 2015)
A homological version of the implicit function theorem
(Springer, 2006-06-01)
Our objective in this paper is to prove an Implicit Function Theorem for general topological spaces. As a consequence, we show that, under certain conditions, the set of the invertible elements of a topological monoid X ...
Mass generation from Lie algebra extensions
(Kluwer Academic/plenum Publ, 2003-12-01)
Applied to the electroweak interactions, the theory of Lie algebra extensions suggests a mechanism by which the boson masses are generated without resource to spontaneous symmetry breaking. It starts from a gauge theory ...