Matches in SemOpenAlex for { <https://semopenalex.org/work/W2950335760> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W2950335760 abstract "Let $G$ be a complex, connected, reductive algebraic group. In this paper we show analogues of the computations by Borho and MacPherson of the invariants and anti-invariants of the cohomology of the Springer fibres of the cone of nilpotent elements, $mathcal N$, of $operatorname{Lie}(G)$ for the Steinberg variety $Z$ of triples. Using a general specialization argument we show that for a parabolic subgroup $W_P times W_Q$ of $W times W$ the space of $W_P times W_Q$-invariants and the space of $W_P times W_Q$-anti-invariants of $H_{4n}(Z)$ are isomorphic to the top Borel-Moore homology groups of certain generalized Steinberg varieties introduced in [5]. The rational group algebra of the Weyl group $W$ of $G$ is isomorphic to the opposite of the top Borel-Moore homology $H_{4n}(Z)$ of $Z$, where $2n = dim mathcal N$. Suppose $W_P times W_Q$ is a parabolic subgroup of $W times W$. We show that the space of $W_P times W_Q$-invariants of $H_{4n}(Z)$ is $e_Q{mathbb Q} We_P$, where $e_P$ is the idempotent in group algebra of $W_P$ affording the trivial representation of $W_P$ and $e_Q$ is defined similarly. We also show that the space of $W_P times W_Q$-anti-invariants of $H_{4n}(Z)$ is $epsilon_Q{mathbb Q} Wepsilon_P$, where $epsilon_P$ is the idempotent in group algebra of $W_P$ affording the sign representation of $W_P$ and $epsilon_Q$ is defined similarly." @default.
- W2950335760 created "2019-06-27" @default.
- W2950335760 creator A5044718364 @default.
- W2950335760 creator A5084839760 @default.
- W2950335760 date "2005-05-26" @default.
- W2950335760 modified "2023-09-27" @default.
- W2950335760 title "Homology of generalized Steinberg varieties and Weyl group invariants" @default.
- W2950335760 cites W1506425503 @default.
- W2950335760 cites W1548114787 @default.
- W2950335760 cites W1967761347 @default.
- W2950335760 cites W1967986548 @default.
- W2950335760 cites W1974949679 @default.
- W2950335760 cites W1981496448 @default.
- W2950335760 cites W2007519596 @default.
- W2950335760 cites W2032465142 @default.
- W2950335760 cites W2037099729 @default.
- W2950335760 cites W2500739438 @default.
- W2950335760 hasPublicationYear "2005" @default.
- W2950335760 type Work @default.
- W2950335760 sameAs 2950335760 @default.
- W2950335760 citedByCount "0" @default.
- W2950335760 crossrefType "posted-content" @default.
- W2950335760 hasAuthorship W2950335760A5044718364 @default.
- W2950335760 hasAuthorship W2950335760A5084839760 @default.
- W2950335760 hasConcept C104317684 @default.
- W2950335760 hasConcept C114614502 @default.
- W2950335760 hasConcept C121332964 @default.
- W2950335760 hasConcept C134306372 @default.
- W2950335760 hasConcept C165525559 @default.
- W2950335760 hasConcept C172252984 @default.
- W2950335760 hasConcept C179415260 @default.
- W2950335760 hasConcept C185592680 @default.
- W2950335760 hasConcept C187173678 @default.
- W2950335760 hasConcept C202444582 @default.
- W2950335760 hasConcept C2781311116 @default.
- W2950335760 hasConcept C33923547 @default.
- W2950335760 hasConcept C40233952 @default.
- W2950335760 hasConcept C50555996 @default.
- W2950335760 hasConcept C55493867 @default.
- W2950335760 hasConcept C62520636 @default.
- W2950335760 hasConcept C78606066 @default.
- W2950335760 hasConcept C81651864 @default.
- W2950335760 hasConcept C9376300 @default.
- W2950335760 hasConceptScore W2950335760C104317684 @default.
- W2950335760 hasConceptScore W2950335760C114614502 @default.
- W2950335760 hasConceptScore W2950335760C121332964 @default.
- W2950335760 hasConceptScore W2950335760C134306372 @default.
- W2950335760 hasConceptScore W2950335760C165525559 @default.
- W2950335760 hasConceptScore W2950335760C172252984 @default.
- W2950335760 hasConceptScore W2950335760C179415260 @default.
- W2950335760 hasConceptScore W2950335760C185592680 @default.
- W2950335760 hasConceptScore W2950335760C187173678 @default.
- W2950335760 hasConceptScore W2950335760C202444582 @default.
- W2950335760 hasConceptScore W2950335760C2781311116 @default.
- W2950335760 hasConceptScore W2950335760C33923547 @default.
- W2950335760 hasConceptScore W2950335760C40233952 @default.
- W2950335760 hasConceptScore W2950335760C50555996 @default.
- W2950335760 hasConceptScore W2950335760C55493867 @default.
- W2950335760 hasConceptScore W2950335760C62520636 @default.
- W2950335760 hasConceptScore W2950335760C78606066 @default.
- W2950335760 hasConceptScore W2950335760C81651864 @default.
- W2950335760 hasConceptScore W2950335760C9376300 @default.
- W2950335760 hasLocation W29503357601 @default.
- W2950335760 hasOpenAccess W2950335760 @default.
- W2950335760 hasPrimaryLocation W29503357601 @default.
- W2950335760 hasRelatedWork W126357040 @default.
- W2950335760 hasRelatedWork W1794144883 @default.
- W2950335760 hasRelatedWork W1969665127 @default.
- W2950335760 hasRelatedWork W1987425879 @default.
- W2950335760 hasRelatedWork W2004632561 @default.
- W2950335760 hasRelatedWork W2022995010 @default.
- W2950335760 hasRelatedWork W2079184845 @default.
- W2950335760 hasRelatedWork W2184260956 @default.
- W2950335760 hasRelatedWork W2736454462 @default.
- W2950335760 hasRelatedWork W2794652361 @default.
- W2950335760 hasRelatedWork W2905836825 @default.
- W2950335760 hasRelatedWork W2915900093 @default.
- W2950335760 hasRelatedWork W2951750829 @default.
- W2950335760 hasRelatedWork W2952995497 @default.
- W2950335760 hasRelatedWork W2953338481 @default.
- W2950335760 hasRelatedWork W2963156670 @default.
- W2950335760 hasRelatedWork W3122407175 @default.
- W2950335760 hasRelatedWork W3175768894 @default.
- W2950335760 hasRelatedWork W3202789325 @default.
- W2950335760 hasRelatedWork W3204593700 @default.
- W2950335760 isParatext "false" @default.
- W2950335760 isRetracted "false" @default.
- W2950335760 magId "2950335760" @default.
- W2950335760 workType "article" @default.