Matches in SemOpenAlex for { <https://semopenalex.org/work/W2309667087> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W2309667087 abstract "A key result in a 2004 paper by S. Arkhipov, R. Bezrukavnikov, and V. Ginzburg compares the bounded derived category of modules for the principal block of a Lusztig quantum enveloping algebra at anroot of unity with an explicit subcategory of the bounded derived category of integrable type 1 modules for a Borel part of that algebra. Specifically, according to this Induction Theorem the right derived functor of induction yields an equivalence of triangulated categories. The authors ABG of that paper suggest a similar result holds for algebraic groups in positive characteristic p, and this paper provides a statement with proof for such a modular induction theorem. Our argument uses the philosophy of ABG as well as new ingredients. A secondary goal of this paper has been to put the original characteristic zero quantum result of ABG on firmer ground, and we provide arguments as needed to give a complete proof of that result also. Finally, using the modular result, we have been able in a separate preprint to introduce truncation functors, associated to finite weight posets, which effectively commute with the modular induction equivalence, assuming p>2h-2, with h the Coxeter number. This enables interpreting the equivalence at the level of derived categories of modules for suitable finite dimensional quasi-hereditary algebras. We expect similar results to hold in the the quantum setting." @default.
- W2309667087 created "2016-06-24" @default.
- W2309667087 creator A5019301376 @default.
- W2309667087 creator A5066006062 @default.
- W2309667087 creator A5091869553 @default.
- W2309667087 date "2016-03-17" @default.
- W2309667087 modified "2023-09-27" @default.
- W2309667087 title "Remarks on the ABG Induction Theorem" @default.
- W2309667087 cites W1539091812 @default.
- W2309667087 cites W1565930783 @default.
- W2309667087 cites W1591012637 @default.
- W2309667087 cites W1636374714 @default.
- W2309667087 cites W1649246839 @default.
- W2309667087 cites W1688730219 @default.
- W2309667087 cites W17451547 @default.
- W2309667087 cites W1966857891 @default.
- W2309667087 cites W1972410551 @default.
- W2309667087 cites W1973493302 @default.
- W2309667087 cites W1985759733 @default.
- W2309667087 cites W2014771251 @default.
- W2309667087 cites W2027044855 @default.
- W2309667087 cites W2051439111 @default.
- W2309667087 cites W2073978834 @default.
- W2309667087 cites W2081085222 @default.
- W2309667087 cites W2087677501 @default.
- W2309667087 cites W2275149429 @default.
- W2309667087 cites W2330101626 @default.
- W2309667087 cites W2573530706 @default.
- W2309667087 cites W634610380 @default.
- W2309667087 cites W73828258 @default.
- W2309667087 hasPublicationYear "2016" @default.
- W2309667087 type Work @default.
- W2309667087 sameAs 2309667087 @default.
- W2309667087 citedByCount "1" @default.
- W2309667087 countsByYear W23096670872016 @default.
- W2309667087 crossrefType "posted-content" @default.
- W2309667087 hasAuthorship W2309667087A5019301376 @default.
- W2309667087 hasAuthorship W2309667087A5066006062 @default.
- W2309667087 hasAuthorship W2309667087A5091869553 @default.
- W2309667087 hasConcept C109593458 @default.
- W2309667087 hasConcept C11846945 @default.
- W2309667087 hasConcept C118615104 @default.
- W2309667087 hasConcept C134306372 @default.
- W2309667087 hasConcept C136119220 @default.
- W2309667087 hasConcept C153778094 @default.
- W2309667087 hasConcept C156772000 @default.
- W2309667087 hasConcept C202444582 @default.
- W2309667087 hasConcept C2780069185 @default.
- W2309667087 hasConcept C2780617661 @default.
- W2309667087 hasConcept C29712632 @default.
- W2309667087 hasConcept C33923547 @default.
- W2309667087 hasConcept C34388435 @default.
- W2309667087 hasConceptScore W2309667087C109593458 @default.
- W2309667087 hasConceptScore W2309667087C11846945 @default.
- W2309667087 hasConceptScore W2309667087C118615104 @default.
- W2309667087 hasConceptScore W2309667087C134306372 @default.
- W2309667087 hasConceptScore W2309667087C136119220 @default.
- W2309667087 hasConceptScore W2309667087C153778094 @default.
- W2309667087 hasConceptScore W2309667087C156772000 @default.
- W2309667087 hasConceptScore W2309667087C202444582 @default.
- W2309667087 hasConceptScore W2309667087C2780069185 @default.
- W2309667087 hasConceptScore W2309667087C2780617661 @default.
- W2309667087 hasConceptScore W2309667087C29712632 @default.
- W2309667087 hasConceptScore W2309667087C33923547 @default.
- W2309667087 hasConceptScore W2309667087C34388435 @default.
- W2309667087 hasLocation W23096670871 @default.
- W2309667087 hasOpenAccess W2309667087 @default.
- W2309667087 hasPrimaryLocation W23096670871 @default.
- W2309667087 hasRelatedWork W1518388118 @default.
- W2309667087 hasRelatedWork W1622582066 @default.
- W2309667087 hasRelatedWork W169573128 @default.
- W2309667087 hasRelatedWork W1735081534 @default.
- W2309667087 hasRelatedWork W1968577168 @default.
- W2309667087 hasRelatedWork W2011472833 @default.
- W2309667087 hasRelatedWork W2087269521 @default.
- W2309667087 hasRelatedWork W2142413595 @default.
- W2309667087 hasRelatedWork W2186761429 @default.
- W2309667087 hasRelatedWork W2194828990 @default.
- W2309667087 hasRelatedWork W2401872600 @default.
- W2309667087 hasRelatedWork W2951534611 @default.
- W2309667087 hasRelatedWork W2951654266 @default.
- W2309667087 hasRelatedWork W2962774860 @default.
- W2309667087 hasRelatedWork W2962910019 @default.
- W2309667087 hasRelatedWork W2963000959 @default.
- W2309667087 hasRelatedWork W2966837478 @default.
- W2309667087 hasRelatedWork W3099327281 @default.
- W2309667087 hasRelatedWork W3127695937 @default.
- W2309667087 hasRelatedWork W80989647 @default.
- W2309667087 isParatext "false" @default.
- W2309667087 isRetracted "false" @default.
- W2309667087 magId "2309667087" @default.
- W2309667087 workType "article" @default.