On Inverting the Koszul Complex

DOI10.1080/00927870801941044zbMath1183.20046arXivmath/0702876OpenAlexW2034450187MaRDI QIDQ3514816

Kamal Khuri-Makdisi

Publication date: 23 July 2008

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702876

zbMATH Keywords

tensor productsexact sequencesrepresentation ringssymmetric powersKoszul complexesnormalized bar resolutionrepresentations of general linear groups

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Vector and tensor algebra, theory of invariants (15A72) Resolutions; derived functors (category-theoretic aspects) (18G10) Syzygies, resolutions, complexes and commutative rings (13D02) Cohomology theory for linear algebraic groups (20G10)

Cites Work

• Extensions of symmetric tensors by alternating tensors
• An Exact Sequence in the Representation Theory ofSL(2)
• Projective resolutions of representations of GL (n).

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