Results 1 to 10 of about 4,385,745 (186)

Cohomology as the derived functor of derivations [PDF]

Transactions of the American Mathematical Society, 1966
Introduction. The investigations which produced this paper were suggested by the fact that the Hochschild cohomology H(F, M) of a free algebra E, with coefficients in any module M, is zero in dimension ^ 2.
Michael Barr, George S. Rinehart
semanticscholar   +3 more sources

Derived equivalences of functor categories [PDF]

Journal of Pure and Applied Algebra, 2015
Let $\Mod \CS$ denote the category of $\CS$-modules, where $\CS$ is a small category. In the first part of this paper, we provide a version of Rickard's theorem on derived equivalence of rings for $\Mod \CS$. This will have several interesting applications.
Javad Asadollahi, Rasool Hafezi, Razieh Vahed   +2 more
semanticscholar   +8 more sources

On the representations of Sp(p, q) and SO*(2n) unitarily induced from derived functor modules [PDF]

Compositio Mathematica, 2004
We obtain a decomposition formula of a representation of Sp(p, q) or SO*(2n) unitarily induced from a derived functor module, which enables us to reduce the problem of irreducible decompositions to the study of derived functor modules.
Hisayosi Matumoto
openalex   +3 more sources

Goldie’s torsion theory and its derived functor [PDF]

, 1968
In this paper the global dimension of any complete, wellpowered abelian category with injective envelopes in calculated relative to the torsion theory of A. W. Goldie and is found to be always one or zero. The rings R such that the left module category n^
J. S. Alin, Spencer E. Dickson
openalex   +2 more sources

Derived category of weak chain U-complexes [PDF]

Heliyon
In this paper, we define the derived category of weak chain U-complexes, and we give a characterization of any weak chain U-complex as an object in the right bounded homotopy category of weak chain U-complexes of projective modules.
Fajar Yuliawan, Intan Muchtadi-Alamsyah, Valerian Pratama, Gustina Elfiyanti   +3 more
doaj   +2 more sources

Branching problems of Zuckerman derived functor modules [PDF]

, 2011
We discuss recent developments on branching problems of irreducible unitary representations $\pi$ of real reductive groups when restricted to reductive subgroups.
Toshiyuki Kobayashi
openalex   +3 more sources

Classes of unitarizable derived functor modules. [PDF]

Proc Natl Acad Sci U S A, 1983
For a real semisimple Lie group G, the description of the unitary dual remains an elusive question. One of the difficulties has been the lack of technique for constructing unitary representations.
Enright TJ, Parthasarathy R, Wallach NR, Wolf JA.   +3 more
europepmc   +2 more sources

Continuation of unitary derived functor modules out of the canonical chamber [PDF]

, 1984
A method is described for following unitarity during coherent continuation of discrete series representations as the parameter passes out of the Borel-de Siebenthal Weyl chamber.
Thomas J. Enright, Joseph A. Wolf
openalex   +2 more sources

Stable derived functors of the second symmetric power functor, second exterior power functor and Whitehead gamma functor [PDF]

, 1974
Daniel Simson
openalex   +2 more sources

Duality for powerset coalgebras [PDF]

Logical Methods in Computer Science, 2022
Let CABA be the category of complete and atomic boolean algebras and complete boolean homomorphisms, and let CSL be the category of complete meet-semilattices and complete meet-homomorphisms. We show that the forgetful functor from CABA to CSL has a left
Guram Bezhanishvili, Luca Carai, Patrick Morandi   +2 more
doaj   +1 more source