Tor as a module over an exterior algebra

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منابع مشابه

Module theory over the exterior algebra with applications to combinatorics

Acknowledgements My deepest thanks go to Tim Römer for his guidance into mathematics and mathematical life since many years now, his support and encouragement during all that time. I wish to thank Winfried Bruns for his interest and many warm and refreshing conversations. I thank Christof and Jochen for always listening to my more or more often less exigent problems. I would also like to thank ...

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For a Hopf algebra H over a commutative ring k and a left H-module V, the tensor endofunctors V k - and - kV are left adjoint to some kinds of  Hom-endofunctors of _HM. The units and counits of these adjunctions are formally trivial as in the classical case.The category of (bi-) modules over a quasi-Hopf algebra is monoidal and some generalized versions of  Hom-tensor relations have been st...

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The exterior algebra and ‘ Spin ’ of an orthogonal g - module Dmitri

The symmetric algebra of a (finite-dimensional) g-module V is the algebra of polynomial functions on the dual space V . Therefore one can study the algebra of symmetric invariants using geometry of G-orbits in V ∗ . In case of the exterior algebra, ∧•V, lack of such geometric picture results by now in absence of general structure theorems for the algebra of skew-invariants (∧•V)g . One may find...

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ژورنال

عنوان ژورنال: Journal of the European Mathematical Society

سال: 2018

ISSN: 1435-9855

DOI: 10.4171/jems/853