Results 11 to 20 of about 8,126 (80)
Results on the Wess-Zumino consistency condition for arbitrary Lie algebras
, 2002 The so-called covariant Poincare lemma on the induced cohomology of the spacetime exterior derivative in the cohomology of the gauge part of the BRST differential is extended to cover the case of arbitrary, non reductive Lie algebras.
A. Barkallil +15 more
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T-Duality from super Lie n-algebra cocycles for super p-branes [PDF]
, 2017 We compute the $L_\infty$-theoretic dimensional reduction of the F1/D$p$-brane super $L_\infty$-cocycles with coefficients in rationalized twisted K-theory from the 10d type IIA and type IIB super Lie algebras down to 9d.
Fiorenza, D., Sati, H., Schreiber, U.
core +3 more sources
Cohomology of Lie superalgebras and of their generalizations
, 1998 The cohomology groups of Lie superalgebras and, more generally, of color Lie algebras, are introduced and investigated. The main emphasis is on the case where the module of coefficients is non-trivial.
Fuks D. B. +6 more
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Enveloping algebras of some quantum Lie algebras [PDF]
, 2014 We define a family of Hopf algebra objects, $H$, in the braided category of $\mathbb{Z}_n$-modules (known as anyonic vector spaces), for which the property $\psi^2_{H\otimes H}=id_{H\otimes H}$ holds. We will show that these anyonic Hopf algebras are, in
Pourkia, Arash
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Coulomb branch algebras via symplectic cohomology
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González +2 more
wiley +1 more source
Lectures on Duflo isomorphisms in Lie algebra and complex geometry
, 2011 International audienceDuflo isomorphism first appeared in Lie theory and representation theory. It is an isomorphism between invariant polynomials of a Lie algebra and the center of its universal enveloping algebra, generalizing the pioneering work of ...
Calaque, D., Rossi, C.
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Red Blood Cell Membrane Mechanics Using Discrete Exterior Calculus (DEC) and Optimization
International Journal for Numerical Methods in Biomedical Engineering, Volume 42, Issue 4, April 2026.We present a novel DEC approach for calculating RBC shapes applicable to other cell types and membrane problems. We derive an energy minimization equation that can be solved semi‐implicitly, and a Lie derivative method to control node spacing. This novel work should aid computational modeling in many biological situations.
Keith C. Afas, Daniel Goldman
wiley +1 more source
Gradient structures from extensions of over-extended Kac-Moody algebras
Journal of High Energy PhysicsOver-extended Kac-Moody algebras contain so-called gradient structures — a gl d $$ \mathfrak{gl}(d) $$ -covariant level decomposition of the algebra contains strings of modules at different levels that can be interpreted as spatial gradients.
Martin Cederwall, Jakob Palmkvist
doaj +1 more source
Divided power (co)homology. Presentations of simple finite dimensional modular Lie superalgebras with Cartan matrix [PDF]
, 2009 For modular Lie superalgebras, new notions are introduced: Divided power homology and divided power cohomology. For illustration, we give presentations (in terms of analogs of Chevalley generators) of finite dimensional Lie (super)algebras with ...
Bouarroudj, Sofiane +3 more
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Frobenius Manifolds and Formality of Lie Algebras of Polyvector Fields [PDF]
, 1997 We construct a generalization of the variations of Hodge structures on Calabi-Yau manifolds. It gives a Mirror partner for the theory of genus=0 Gromov-Witten invariantsComment: 12 pages, AMS-TeX; typos and a sign corrected, appendix added.
Formality Of Lie Algebras +8 more
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