منابع مشابه
The Cohomology of Semi-infinite Deligne–lusztig Varieties
We prove a 1979 conjecture of Lusztig on the cohomology of semi-infinite Deligne– Lusztig varieties attached to division algebras over local fields. We also prove the two conjectures of Boyarchenko on these varieties. It is known that in this setting, the semi-infinite Deligne–Lusztig varieties are ind-schemes comprised of limits of certain finite-type schemes Xh. Boyarchenko’s two conjectures ...
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We study the semi-infinite or BRST cohomology of affine Lie algebras in detail. This cohomology is relevant in the BRST approach to gauged WZNW models. Our main result is to prove necessary and sufficient conditions on ghost numbers and weights for non-trivial elements in the cohomology. In particular we prove the existence of an infinite sequence of elements in the cohomology for non-zero ghos...
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We describe representations of certain superconformal algebras in the semi-infinite Weil complex related to the loop algebra of a complex finite-dimensional Lie algebra and in the semi-infinite cohomology. We show that in the case where the Lie algebra is endowed with a nondegenerate invariant symmetric bilinear form, the relative semi-infinite cohomology of the loop algebra has a structure, wh...
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We study natural subalgebras ChE(G) of group cohomology defined in terms of infinite loop spaces E and give representation theoretic descriptions of those based on QS and the Johnson-Wilson theories E(n). We describe the subalgebras arising from the Brown-Peterson spectra BP and as a result give a simple reproof of Yagita’s theorem that the image of BP ∗(BG) in H∗(BG;Fp) is F -isomorphic to the...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2010
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-010-1055-2