Kunneth formula for L-functions

1979 ◽  
pp. 243-255
Author(s):  
Carlos Julio Moreno
Keyword(s):  
Kunneth Formula

scholarly journals The künneth formula in periodic cyclic homology

K-Theory ◽  
1996 ◽  
Vol 10 (2) ◽  
pp. 197-214 ◽  
Author(s):  
Ioannis Emmanouil
Keyword(s):  
Cyclic Homology ◽  
Kunneth Formula

scholarly journals Tensor product of motives via Künneth formula

2020 ◽  
Vol 224 (6) ◽  
pp. 106267
Author(s):  
Luca Barbieri-Viale ◽  
Mike Prest
Keyword(s):  
Tensor Product ◽  
Kunneth Formula

scholarly journals KÜNNETH FORMULA FOR SO(3) FLOER HOMOLOGY

Topology ◽  
1999 ◽  
Vol 38 (6) ◽  
pp. 1209-1237 ◽  
Author(s):  
Weiping Li
Keyword(s):  
Floer Homology ◽  
Kunneth Formula

On the Künneth formula for reducedL 2-cohomologies

1995 ◽  
Vol 36 (1) ◽  
pp. 92-99 ◽  
Author(s):  
V. I. Kuz'minov ◽  
I. A. Shvedov
Keyword(s):  
Kunneth Formula

The Künneth formula for Hilbert complexes

1982 ◽  
Vol 5 (1) ◽  
pp. 1-17 ◽  
Author(s):  
Corina Grosu ◽  
Florian-Horia Vasilescu
Keyword(s):  
Kunneth Formula

scholarly journals Sur l'homologie des groupes unitaires à coefficients polynomiaux

2012 ◽  
Vol 10 (1) ◽  
pp. 87-139 ◽  
Author(s):  
Aurélien Djament
Keyword(s):  
Unitary Groups ◽  
Symmetric Power ◽  
Orthogonal Groups ◽  
Tensor Power ◽  
Full Generality ◽  
Standard Methods ◽  
Homology Groups ◽  
Special Cases ◽  
Functor Homology ◽  
Kunneth Formula

AbstractLet A be a ring with anti-involution and F a nice functor (tensor or symmetric power, for example) from finitely-generated projective A-modules to abelian groups. We show that the homology of the hyperbolic unitary groups Un,n(A) with coefficients in F(A2n) can be expressed stably (i.e. after taking the colimit over n) by the homology of these groups with untwisted coefficients and functor homology groups that we can compute in suitable cases (for example, when A is a field of characteristic 0 or a ring without ℤ-torsion and F a tensor power). This extends the result where A is a finite field, which was dealt with previously by C. Vespa and the author (Ann. Sci. ENS, 2010).The proof begins by relating, without any assumption on F, our homology groups to the homology of a category of hermitian spaces with coefficients twisted by F. Then, when F is polynomial, we establish — following a method due to Scorichenko — an isomorphism between this homology and the homology of another category of (possibly degenerate) hermitian spaces, which is computable (in good cases) by standard methods of homological algebra in functor categories (using adjunctions, Künneth formula…). We give some examples.Finally, we deal with the analogous problem for non-hyperbolic unitary groups in some special cases, for example euclidean orthogonal groups On (A) (the ring A being here commutative). The isomorphism between functor homology and group homology with twisted coefficients does not hold in full generality; nevertheless we succeed to get it when A is a field or, for example, a subring of ℚ containing ℤ[1/2]. The method, which is similar to that in the previous case, uses a general result of symmetrisation in functor homology proved at the beginning of the article.

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