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003    OCoLC 
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008    181013s2018    sz      o     100 0 eng d 
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019    1056735566|a1081215288|a1086541577|a1105193544|a1117823656
020    9783319940335|q(electronic bk.) 
020    3319940333|q(electronic bk.) 
020    9783319940342|q(print) 
020    3319940341 
020    |z9783319940328 
020    |z3319940325 
024 7  10.1007/978-3-319-94033-5|2doi 
024 8  10.1007/978-3-319-94 
035    (OCoLC)1056895538|z(OCoLC)1056735566|z(OCoLC)1081215288
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037    com.springer.onix.9783319940335|bSpringer Nature 
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111 2  PIMS Summer School and Workshop|d(2016 :|cVancouver, B.C.)
245 10 Geometric and topological aspects of the representation 
       theory of finite groups :|bPIMS Summer School and Workshop,
       July 27-August 5, 2016 /|cJon F. Carlson, Srikanth B. 
       Iyengar, Julia Pevtsova, editors. 
264  1 Cham :|bSpringer,|c2018. 
300    1 online resource (493 pages) 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
347    text file|bPDF|2rda 
490 1  Springer Proceedings in Mathematics and Statistics ;|vv. 
       242 
505 0  Intro; Preface; Contents; Restricting Homology to 
       Hypersurfaces; 1 Differential Graded Algebra; 1.1 Tensor 
       Products; 1.2 Divided Powers; 1.3 The Koszul Complex; 1.4 
       The Tate Construction; 1.5 Acyclic Closures; 2 
       Hypersurfaces; 2.1 Degree One Cycles; 2.2 Hypersurfaces; 3
       Support Sets; 3.1 Support Sets; 3.2 Projective Dimension; 
       3.3 Alternative Description of Support; 3.4 Complexes over
       Regular Rings; 3.5 On Being Closed; 4 Defining Equations; 
       4.1 Complete Intersections; 5 Group Algebras of Elementary
       Abelian Groups; 5.1 Flat Dimension; 5.2 Rank Varieties; 
       5.3 Polynomial Extensions. 
505 8  5.4 Nilpotent OperatorsReferences; Thick Subcategories of 
       the Relative Stable Category; 1 Introduction; 2 Notation 
       and Preliminaries; 3 Annihilators of Cohomology; 4 
       Additive Tensor Ideals; 5 Non-Noetherian Spectra; 6 
       Idempotent Modules; 7 Thick Subcategories by Inflation; 8 
       Empty Thick Tensor Ideals; 9 Examples; 10 One More 
       Question; References; Nilpotent Elements in Hochschild 
       Cohomology; 1 Introduction; 2 Preliminaries; 2.1 The 
       Algebras; 2.2 Hochschild Cohomology; 2.3 Nilpotent 
       Elements; 2.4 Independence of q; 3 A Minimal Bimodule 
       Resolution; 3.1 The problem. 
505 8  3.2 Relating to the one-sided resolution3.3 Minimal 
       generators; 4 Homomorphisms and HHn(A); 4.1 Identities for
       homomorphisms; 4.2 The Proof of Proposition 4.3 for n+14; 
       4.3 Small Cases; References; Rational Cohomology and 
       Supports for Linear Algebraic Groups; 1 Introduction; 2 
       Lecture I: Affine Group Schemes Over k; 2.1 Affine Group 
       Schemes Over k; 2.2 Affine Group Schemes; 2.3 
       Characteristic p> 0; 2.4 Restricted Lie Algebras; 3 
       Lecture II: Algebraic Representations; 3.1 Algebraic 
       Actions; 3.2 Examples; 3.3 Weights for G-Modules; 3.4 
       Representations of Frobenius Kernels. 
505 8  4 Lecture III: Cohomological Support Varieties4.1 
       Indecomposable Versus Irreducible; 4.2 Derived Functors; 
       4.3 The Quillen Variety G and the Cohomological Support 
       Variety GM; 5 Lecture IV: Support Varieties for Linear 
       Algebraic Groups; 5.1 1-Parameter Subgroups; 5.2 p-
       Nilpotent Operators; 5.3 The Support Variety V(G)M; 5.4 
       Classes of Rational G-Modules; 5.5 Some Questions of 
       Possible Interest; References; Anderson and Gorenstein 
       Duality; 1 Introduction; 1.1 Motivation; 1.2 Description 
       of Contents; 1.3 Conventions; 2 Anderson Duals; 2.1 
       Construction of Brown-Comenetz Duals. 
505 8  2.2 Properties of Brown-Comenetz Duals2.3 Construction of 
       Anderson Duals; 2.4 Properties of Anderson Duals; 3 The 
       Gorenstein Condition; 3.1 Cellularization; 3.2 Morita 
       Theory; 3.3 The Gorenstein Condition; 3.4 Gorenstein 
       Duality; 3.5 Gorenstein Duality Relative to mathbbFp; 3.6 
       Mahowald-Rezk Duality; 4 Gorenstein Duality and Anderson 
       Self-duality; 4.1 Nullifying HK; 4.2 Anderson Self-duality
       from Gorenstein Duality; 4.3 Gorenstein Duality from 
       Anderson Self-duality; 5 Examples with Polynomial or 
       Hypersurface Coefficient Rings; 5.1 The Čech Complex; 5.2 
       The Algebraic Context. 
520    These proceedings comprise two workshops celebrating the 
       accomplishments of David J. Benson on the occasion of his 
       sixtieth birthday. The papers presented at the meetings 
       were representative of the many mathematical subjects he 
       has worked on, with an emphasis on group prepresentations 
       and cohomology. The first workshop was titled "Groups, 
       Representations, and Cohomology" and held from June 22 to 
       June 27, 2015 at Sabhal Mòr Ostaig on the Isle of Skye, 
       Scotland. The second was a combination of a summer school 
       and workshop on the subject of "Geometric Methods in the 
       Representation Theory of Finite Groups" and took place at 
       the Pacific Institute for the Mathematical Sciences at the
       University of British Columbia in Vancouver from July 27 
       to August 5, 2016. The contents of the volume include a 
       composite of both summer school material and workshop-
       derived survey articles on geometric and topological 
       aspects of the representation theory of finite groups. The
       mission of the annually sponsored Summer Schools is to 
       train and draw new students, and help Ph. D students 
       transition to independent research. 
588 0  Print version record. 
590    eBooks on EBSCOhost|bEBSCO eBook Subscription Academic 
       Collection - North America 
650  0 Representations of groups|vCongresses. 
650  0 Cohomology operations|vCongresses. 
650  7 Groups & group theory.|2bicssc 
650  7 Algebra.|2bicssc 
650  7 Mathematical foundations.|2bicssc 
650  7 MATHEMATICS|xAlgebra|xIntermediate.|2bisacsh 
650  7 Representaciones de grupos|xCongresos|2embne 
650  7 Cohomology operations|2fast 
650  7 Representations of groups|2fast 
655  2 Congress 
655  7 proceedings (reports)|2aat 
655  7 Conference papers and proceedings|2fast 
655  7 Conference papers and proceedings.|2lcgft 
700 1  Carlson, J. F. 
700 1  Iyengar, Srikanth,|d1970- 
700 1  Pevtsova, Julia. 
711 2  Groups, Representations, and Cohomology (Workshop)|d(2015 
       :|cSkye, Island of, Scotland) 
776 08 |iPrint version:|aCarlson, Jon F.|tGeometric and 
       Topological Aspects of the Representation Theory of Finite
       Groups : PIMS Summer School and Workshop, July 27-August 5
       2016.|dCham : Springer, ©2018|z9783319940328 
830  0 Springer proceedings in mathematics & statistics ;|vv. 
       242. 
856 40 |uhttps://rider.idm.oclc.org/login?url=https://
       search.ebscohost.com/login.aspx?direct=true&scope=site&
       db=nlebk&AN=1909402|zOnline ebook via EBSCO. Access 
       restricted to current Rider University students, faculty, 
       and staff. 
856 42 |3Instructions for reading/downloading the EBSCO version 
       of this ebook|uhttp://guides.rider.edu/ebooks/ebsco 
948    |d20240319|cEBSCO|tEBSCOebooksacademic NEW 1-26-24 6521
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