Results 31 to 40 of about 57,089 (167)
THE ADJOINT REPRESENTATION OF QUANTUM ALGEBRA Uq(sl(2))
Journal of Nonlinear Mathematical Physics, 2009 Starting from any representation of the Lie algebra on the finite dimensional vector space V we can construct the representation on the space Aut(V). These representations are of the type of ad.
C. Burdik, O. Navrátil, S. Pošta
semanticscholar +1 more source
Deformations of Lie 2-algebras
, 2013 In this paper, we consider deformations of Lie 2-algebras via the cohomology theory. We prove that a 1-parameter infinitesimal deformation of a Lie 2-algebra $\g$ corresponds to a 2-cocycle of $\g$ with the coefficients in the adjoint representation. The
Liu, Zhangju, Sheng, Yunhe, Zhang, Tao
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
, 2004 The space of Lie algebra cohomology is usually described by the dimensions of components of certain degree even for the adjoint module as coefficients when the spaces of cochains and cohomology can be endowed with a Lie superalgebra structure. Such a description is rather imprecise: these dimensions may coincide for cohomology spaces of distinct ...
Lebedev, Alexei +2 more
openaire +2 more sources
Invariant Tensors Formulae via Chord Diagrams [PDF]
, 2005 We provide an explicit algorithm to calculate invariant tensors for the adjoint representation of the simple Lie algebra $sl(n)$, as well as arbitrary representation in terms of roots.
Campoamor-Stursberg, R., Manturov, V. O.
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Computing Bonds Between Formal Contexts
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The notion of bond was introduced as a technique to aggregate information from multiple datasets without modifying the information already present in each of the datasets. This notion has been extended to several fuzzy frameworks, including the residuated lattice setting, which we also consider in this paper.
Roberto G. Aragón +2 more
wiley +1 more source
On different approaches to IRF lattice models. Part II
Journal of High Energy PhysicsThis paper represents a continuation of our previous work, where the Boltzmann weights (BWs) for several Interaction-Round-the Face (IRF) lattice models were computed using their relation to rational conformal field theories.
Vladimir Belavin +3 more
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The Mathematical History Behind the Granger–Johansen Representation Theorem
Oxford Bulletin of Economics and Statistics, EarlyView.ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
wiley +1 more source
Computable conditions for order-2 CP symmetry in NHDM potentials
Journal of High Energy PhysicsWe derive necessary and sufficient conditions for order-2 CP (CP2) symmetry in N-Higgs-doublet potentials for N > 2. The conditions, which are formulated as relations between vectors that transform under the adjoint representation of SU(N) under a change
R. Plantey, M. Aa. Solberg
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Star Product and Invariant Integration for Lie type Noncommutative Spacetimes
, 2007 We present a star product for noncommutative spaces of Lie type, including the so called ``canonical'' case by introducing a central generator, which is compatible with translations and admits a simple, manageable definition of an invariant integral.
A. Sykora +13 more
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