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Group Representations: Cohomology, Group Actions and Topology
 
Edited by: Alejandro Adem :  University of Wisconsin, Madison, Madison, WI
Jon Carlson :  University of Georgia, Athens, GA
Stewart Priddy :  Northwestern University, Evanston, IL
Peter Webb :  University of Minnesota, Minneapolis, Minneapolis, MN
Group Representations: Cohomology, Group Actions and Topology
Hardcover ISBN:  978-0-8218-0658-6
Product Code:  PSPUM/63
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9367-8
Product Code:  PSPUM/63.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Hardcover ISBN:  978-0-8218-0658-6
eBook: ISBN:  978-0-8218-9367-8
Product Code:  PSPUM/63.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
Add to cart
Group Representations: Cohomology, Group Actions and Topology
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Group Representations: Cohomology, Group Actions and Topology
Edited by: Alejandro Adem :  University of Wisconsin, Madison, Madison, WI
Jon Carlson :  University of Georgia, Athens, GA
Stewart Priddy :  Northwestern University, Evanston, IL
Peter Webb :  University of Minnesota, Minneapolis, Minneapolis, MN
Hardcover ISBN:  978-0-8218-0658-6
Product Code:  PSPUM/63
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9367-8
Product Code:  PSPUM/63.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Hardcover ISBN:  978-0-8218-0658-6
eBook ISBN:  978-0-8218-9367-8
Product Code:  PSPUM/63.B
List Price: $274.00 $206.50
MAA Member Price: $246.60 $185.85
AMS Member Price: $219.20 $165.20
Add to cart
  • Book Details
     
     
    Proceedings of Symposia in Pure Mathematics
    Volume: 63; 1998; 532 pp
    MSC: Primary 20; 55; 57

    This volume combines contributions in topology and representation theory that reflect the increasingly vigorous interactions between these areas. Topics such as group theory, homotopy theory, cohomology of groups, and modular representations are covered. All papers have been carefully refereed and offer lasting value.

    Features:

    • state of the art contributions from this active, interdisciplinary branch of mathematical research
    • excellent, high-level survey papers by experts in the field
    • a unique combination of topics in algebra and topology
    • a compilation of open problems
    Readership

    Graduate students, research mathematicians and physicists interested in group theory and generalizations.
  • Table of Contents
     
     
    • Articles
    • Toshiyuki Akita — On the cohomology of Coxeter groups and their finite parabolic subgroups II [ MR 1603123 ]
    • Robert Boltje — Linear source modules and trivial source modules [ MR 1603127 ]
    • S. Bouc — Résolutions de foncteurs de Mackey [ MR 1603131 ]
    • Carlos Broto and Antonio Viruel — Homotopy uniqueness of $B\mathrm {PU}(3)$ [ MR 1603135 ]
    • Jonathan Brundan — Lowering operators for $\mathrm {GL}(n)$ and quantum $\mathrm {GL}(n)$ [ MR 1603139 ]
    • Jon F. Carlson and Wayne W. Wheeler — Homomorphisms in higher complexity quotient categories [ MR 1603143 ]
    • Frederick R. Cohen and Ran Levi — On the homotopy theory of $p$-completed classifying spaces [ MR 1603147 ]
    • M. D. Crossley — $H^*V$ is of bounded type over $\mathcal {A}(p)$ [ MR 1603151 ]
    • Jill Dietz and Tommy Ratliff — Classifying spaces of central group extensions [ MR 1603155 ]
    • W. G. Dwyer — Sharp homology decompositions for classifying spaces of finite groups [ MR 1603159 ]
    • Paul Fong and R. James Milgram — On the geometry and cohomology of the simple groups $G_2(q)$ and $^3\!D_4(q)$ [ MR 1603163 ]
    • David John Green and Pham Anh Minh — Transfer and Chern classes for extraspecial $p$-groups [ MR 1603167 ]
    • Ralph Grieder — The infinite order of the symplectic classes in the cohomology of the stable mapping class group [ MR 1603171 ]
    • Hans-Werner Henn — A variant of the proof of the Landweber Stong conjecture [ MR 1603175 ]
    • Hans-Werner Henn — Unstable modules over the Steenrod algebra and cohomology of groups [ MR 1603179 ]
    • L. Gaunce Lewis, Jr. — The category of Mackey functors for a compact Lie group [ MR 1603183 ]
    • Zongzhu Lin — Comparison of extensions of modules for algebraic groups and quantum groups [ MR 1603187 ]
    • Florian Luca — The defect of the completion of a Green functor [ MR 1603191 ]
    • Andrew Mathas — Simple modules of Ariki-Koike algebras [ MR 1603195 ]
    • R. James Milgram — On the geometry and cohomology of the simple groups $G_2(q)$ and $^3\!D_4(q)$. II [ MR 1603199 ]
    • R. James Milgram — On the relation between simple groups and homotopy theory [ MR 1603124 ]
    • Daniel K. Nakano — Varieties for $G_rT$-modules [ MR 1603128 ]
    • Fumihito Oda — On defect groups of the Mackey algebras for finite groups [ MR 1603132 ]
    • Stewart Priddy — Applications of stable classifying space theory to group cohomology [ MR 1603136 ]
    • Yu. B. Rudyak — The spectra $k$ and $kO$ are not Thom spectra [ MR 1603140 ]
    • N. S. Narasimha Sastry and Peter Sin — The code of a regular generalized quadrangle of even order [ MR 1603144 ]
    • Mary Schaps, Dana Shapira and Orly Shlomo — Quivers of blocks with normal defect group [ MR 1603148 ]
    • Takashi Watanabe — Cohomology of a homogeneous space $E_6/T^1\cdot \mathrm {SU}(6)$ [ MR 1603152 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Proceedings of Symposia in Pure Mathematics
Volume: 63; 1998; 532 pp
MSC: Primary 20; 55; 57

This volume combines contributions in topology and representation theory that reflect the increasingly vigorous interactions between these areas. Topics such as group theory, homotopy theory, cohomology of groups, and modular representations are covered. All papers have been carefully refereed and offer lasting value.

Features:

  • state of the art contributions from this active, interdisciplinary branch of mathematical research
  • excellent, high-level survey papers by experts in the field
  • a unique combination of topics in algebra and topology
  • a compilation of open problems
Readership

Graduate students, research mathematicians and physicists interested in group theory and generalizations.
  • Articles
  • Toshiyuki Akita — On the cohomology of Coxeter groups and their finite parabolic subgroups II [ MR 1603123 ]
  • Robert Boltje — Linear source modules and trivial source modules [ MR 1603127 ]
  • S. Bouc — Résolutions de foncteurs de Mackey [ MR 1603131 ]
  • Carlos Broto and Antonio Viruel — Homotopy uniqueness of $B\mathrm {PU}(3)$ [ MR 1603135 ]
  • Jonathan Brundan — Lowering operators for $\mathrm {GL}(n)$ and quantum $\mathrm {GL}(n)$ [ MR 1603139 ]
  • Jon F. Carlson and Wayne W. Wheeler — Homomorphisms in higher complexity quotient categories [ MR 1603143 ]
  • Frederick R. Cohen and Ran Levi — On the homotopy theory of $p$-completed classifying spaces [ MR 1603147 ]
  • M. D. Crossley — $H^*V$ is of bounded type over $\mathcal {A}(p)$ [ MR 1603151 ]
  • Jill Dietz and Tommy Ratliff — Classifying spaces of central group extensions [ MR 1603155 ]
  • W. G. Dwyer — Sharp homology decompositions for classifying spaces of finite groups [ MR 1603159 ]
  • Paul Fong and R. James Milgram — On the geometry and cohomology of the simple groups $G_2(q)$ and $^3\!D_4(q)$ [ MR 1603163 ]
  • David John Green and Pham Anh Minh — Transfer and Chern classes for extraspecial $p$-groups [ MR 1603167 ]
  • Ralph Grieder — The infinite order of the symplectic classes in the cohomology of the stable mapping class group [ MR 1603171 ]
  • Hans-Werner Henn — A variant of the proof of the Landweber Stong conjecture [ MR 1603175 ]
  • Hans-Werner Henn — Unstable modules over the Steenrod algebra and cohomology of groups [ MR 1603179 ]
  • L. Gaunce Lewis, Jr. — The category of Mackey functors for a compact Lie group [ MR 1603183 ]
  • Zongzhu Lin — Comparison of extensions of modules for algebraic groups and quantum groups [ MR 1603187 ]
  • Florian Luca — The defect of the completion of a Green functor [ MR 1603191 ]
  • Andrew Mathas — Simple modules of Ariki-Koike algebras [ MR 1603195 ]
  • R. James Milgram — On the geometry and cohomology of the simple groups $G_2(q)$ and $^3\!D_4(q)$. II [ MR 1603199 ]
  • R. James Milgram — On the relation between simple groups and homotopy theory [ MR 1603124 ]
  • Daniel K. Nakano — Varieties for $G_rT$-modules [ MR 1603128 ]
  • Fumihito Oda — On defect groups of the Mackey algebras for finite groups [ MR 1603132 ]
  • Stewart Priddy — Applications of stable classifying space theory to group cohomology [ MR 1603136 ]
  • Yu. B. Rudyak — The spectra $k$ and $kO$ are not Thom spectra [ MR 1603140 ]
  • N. S. Narasimha Sastry and Peter Sin — The code of a regular generalized quadrangle of even order [ MR 1603144 ]
  • Mary Schaps, Dana Shapira and Orly Shlomo — Quivers of blocks with normal defect group [ MR 1603148 ]
  • Takashi Watanabe — Cohomology of a homogeneous space $E_6/T^1\cdot \mathrm {SU}(6)$ [ MR 1603152 ]
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Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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