Results 11 to 20 of about 67,761 (247)
Calculations on Lie Algebra of the Group of Affine Symplectomorphisms [PDF]
Advances in Mathematical Physics, 2017 We find the image of the affine symplectic Lie algebra gn from the Leibniz homology HL⁎(gn) to the Lie algebra homology H⁎Lie(gn). The result shows that the image is the exterior algebra ∧⁎(wn) generated by the forms wn=∑i=1n(∂/∂xi∧∂/∂yi).
Zuhier Altawallbeh
doaj +2 more sources
Induced Modules for Affine Lie Algebras [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 We study induced modules of nonzero central charge with arbitrary multiplicities over affine Lie algebras. For a given pseudo parabolic subalgebra P of an affine Lie algebra G, our main result establishes the equivalence between a certain category of P ...
Vyacheslav Futorny, Iryna Kashuba
doaj +4 more sources
Vertex algebras associated with elliptic affine Lie algebras [PDF]
Communications in Contemporary Mathematics, 2009 We associate what we call vertex ℂ((z))-algebras and their modules in a certain category with elliptic affine Lie algebras. To a certain extent, this association is similar to that of vertex algebras and their modules with affine Lie algebras. While the notion of vertex ℂ((z))-algebra is a special case of that of quantum vertex ℂ((z))-algebra, which ...
Haisheng Li, Jiancai Sun
openalex +5 more sources
Spinor representations of affine Lie algebras [PDF]
Proceedings of the National Academy of Sciences, 1980 Let [unk] be an infinite-dimensional Kac-Moody Lie algebra of one of the types D l +1 (2) , B l (1) , or D l (1)
Igor Frenkel
openalex +4 more sources
Instantons and affine Lie algebras [PDF]
Nuclear Physics B - Proceedings Supplements, 1996 Various constructions of the affine Lie algebra action on the homology group of moduli spaces of instantons on 4-manifolds are discussed. The analogy between the local-global principle and the role of mass is also explained. The detailed proofs are given in separated papers \cite{Na-algebra,Na-Hilbert}.
Hiraku Nakajima
openalex +4 more sources
Trigonometric Lie algebras, affine Lie algebras, and vertex algebras [PDF]
Advances in Mathematics, 2020 31 ...
Li, Haisheng, Tan, Shaobin, Wang, Qing
openaire +3 more sources
Modules for double affine Lie algebras [PDF]
Frontiers of Mathematics in China, 2015 15 pages, 15 ...
Jing, Naihuan, Wang, Chunhua
openaire +2 more sources
W-strings from affine Lie algebras [PDF]
Physics Letters B, 1994 The most disappointing aspect of $\W$-strings is probably the fact that at least for the known models one does not recover a physical spectrum that differs much from that of ordinary string theory. It is hoped that this is not an intrinsic shortcoming of $\W$-string theory, but rather that it is a consequence of the $\W$-algebra realizations that have ...
José Figueroa-O’Farrill
openalex +4 more sources
W3 constructions on affine Lie algebras [PDF]
Physics Letters B, 1992 9 ...
Deckmyn, A., Schrans, S.
openaire +2 more sources
The Semi-Infinite Cohomology of Affine Lie Algebras [PDF]
Communications in Mathematical Physics, 1998 We study in detail the semi-infinite or BRST cohomology of general affine Lie algebras. This cohomology is relevant in the BRST approach to gauged WZNW models. We prove the existence of an infinite sequence of elements in the cohomology for non-zero ghost numbers.
Stephen Hwang, Stephen Hwang
openalex +5 more sources