Zobrazeno 1 - 10 of 22 pro vyhledávání: '"Nathalie Wahl"'
1
Homological stability for classical groups
Autor: Nathalie Wahl, David Sprehn
Publikováno v: Transactions of the American Mathematical Society
Sprehn, D & Wahl, N 2020, ' Homological stability for classical groups ', Transactions of the American Mathematical Society, vol. 373, no. 7, pp. 4807-4861 . https://doi.org/10.1090/tran/8030
We prove a slope 1 stability range for the homology of the symplectic, orthogonal and unitary groups with respect to the hyperbolic form, over any fields other than $F_2$, improving the known range by a factor 2 in the case of finite fields. Our resu
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e7a0f5e567f02bf4e5cd2899ad6cb87f
https://doi.org/10.1090/tran/8030
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2
Forms over fields and Witt's lemma
Autor: Nathalie Wahl, David Sprehn
Publikováno v: Sprehn, D & Wahl, N 2020, ' Forms over fields and Witt's lemma ', Mathematica Scandinavica, vol. 126, no. 3, pp. 401-423 . https://doi.org/10.7146/math.scand.a-120488
MATHEMATICA SCANDINAVICA
We give an overview of the general framework of forms of Bak, Tits and Wall, when restricting to vector spaces over fields, and describe its relationship to the classical notions of Hermitian, alternating and quadratic forms. We then prove a version
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c85cf8b431f302af2ddac95138dd32d4
https://curis.ku.dk/portal/da/publications/forms-over-fields-and-witts-lemma(da184973-3a03-47a6-bda8-da82f7ed0e86).html
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3
Hochschild homology of structured algebras
Autor: Nathalie Wahl, Craig Westerland
Publikováno v: Advances in Mathematics. 288:240-307
We give a general method for constructing explicit and natural operations on the Hochschild complex of algebras over any PROP with $A_\infty$--multiplication---we think of such algebras as $A_\infty$--algebras "with extra structure". As applications,
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d788bb16b009c04f70eae1bf100e11bc
https://doi.org/10.1016/j.aim.2015.10.017
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5
Homological stability for automorphism groups
Autor: Nathalie Wahl, Oscar Randal-Williams
Publikováno v: Advances in Mathematics
Given a family of groups admitting a braided monoidal structure (satisfying mild assumptions) we construct a family of spaces on which the groups act and whose connectivity yields, via a classical argument of Quillen, homological stability for the fa
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6bd4167d744697eaf596216dc18794ed
https://hdl.handle.net/21.11116/0000-0004-0A7A-921.11116/0000-0004-0A7B-821.11116/0000-0004-0A78-B
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6
Universal operations in Hochschild homology
Autor: Nathalie Wahl
Publikováno v: Journal für die reine und angewandte Mathematik (Crelles Journal)
We provide a general method for finding all natural operations on the Hochschild complex of E-algebras, where E is any algebraic structure encoded in a prop with multiplication, as for example the prop of Frobenius, commutative or A_infty-algebras. W
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::834f9cf50d338694a87d9ad5759e2f74
https://doi.org/10.1515/crelle-2014-0037
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8
Homological stability for automorphism groups of RAAGs
Autor: Giovanni Gandini, Nathalie Wahl
Publikováno v: Algebr. Geom. Topol. 16, no. 4 (2016), 2421-2441
We show that the homology of the automorphism group of a right-angled Artin group stabilizes under taking products with any right-angled Artin group.
Comment: final version
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5448e4a1593995fc887e7c449b1c62b9
https://projecteuclid.org/euclid.agt/1511895919
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