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Unconventional Lie Algebras
 
Edited by: Dmitry Fuchs
Unconventional Lie Algebras
Hardcover ISBN:  978-0-8218-4121-1
Product Code:  ADVSOV/17
List Price: $142.00
MAA Member Price: $127.80
AMS Member Price: $113.60
eBook ISBN:  978-1-4704-4615-4
Product Code:  ADVSOV/17.E
List Price: $142.00
MAA Member Price: $127.80
AMS Member Price: $113.60
Hardcover ISBN:  978-0-8218-4121-1
eBook: ISBN:  978-1-4704-4615-4
Product Code:  ADVSOV/17.B
List Price: $284.00 $213.00
MAA Member Price: $255.60 $191.70
AMS Member Price: $227.20 $170.40
Unconventional Lie Algebras
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Unconventional Lie Algebras
Edited by: Dmitry Fuchs
Hardcover ISBN:  978-0-8218-4121-1
Product Code:  ADVSOV/17
List Price: $142.00
MAA Member Price: $127.80
AMS Member Price: $113.60
eBook ISBN:  978-1-4704-4615-4
Product Code:  ADVSOV/17.E
List Price: $142.00
MAA Member Price: $127.80
AMS Member Price: $113.60
Hardcover ISBN:  978-0-8218-4121-1
eBook ISBN:  978-1-4704-4615-4
Product Code:  ADVSOV/17.B
List Price: $284.00 $213.00
MAA Member Price: $255.60 $191.70
AMS Member Price: $227.20 $170.40
  • Book Details
     
     
    Advances in Soviet Mathematics
    Volume: 171993; 216 pp
    MSC: Primary 17;

    This book contains eight papers on representations and cohomology of Lie algebras. The Lie algebras here are either infinite-dimensional, are defined over fields of finite characteristic, or are actually Lie superalgebras or quantum groups. Among the topics covered here are generalizations of the Virasoro algebra, representation theory of the Virasoro algebra and of Kac-Moody algebras, cohomology of Lie algebras of vector fields on the line, and Lie superalgebras of vector fields. The paper by Retakh and Shander contains a generalization of the Schwarz derivative to the noncommutative case.

    Readership

    Research mathematicians.

  • Table of Contents
     
     
    • Articles
    • A. B. Astashkevich and D. B. Fuchs — On the cohomology of the Lie superalgebra $W(m\vert n)$
    • Boris Feign and Feodor Malikov — Integral intertwining operators and complex powers of differential and q-difference operators
    • Dmitry Fuchs — Singular vectors over the Virasoro algebra and extended Verma modules
    • K. V. Kozerenko — Main theorems of invariant theory for the Lie algebra $\mathfrak {sl} (2)$ in the case of a field of finite characteristic
    • Feodor Malikov — On a duality for Z-graded algebras and modules
    • V. Yu. Ovsienko and O. D. Ovsienko — Projective structures and infinite-dimensional Lie algebras associated with a contact manifold
    • V. S. Retakh and V. N. Shander — The Schwartz derivative for noncommutative differential algebras
    • F. V. Weinstein — Filtering bases: a tool to compute cohomologies of abstract subalgebras of the Witt algebra
  • 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
Volume: 171993; 216 pp
MSC: Primary 17;

This book contains eight papers on representations and cohomology of Lie algebras. The Lie algebras here are either infinite-dimensional, are defined over fields of finite characteristic, or are actually Lie superalgebras or quantum groups. Among the topics covered here are generalizations of the Virasoro algebra, representation theory of the Virasoro algebra and of Kac-Moody algebras, cohomology of Lie algebras of vector fields on the line, and Lie superalgebras of vector fields. The paper by Retakh and Shander contains a generalization of the Schwarz derivative to the noncommutative case.

Readership

Research mathematicians.

  • Articles
  • A. B. Astashkevich and D. B. Fuchs — On the cohomology of the Lie superalgebra $W(m\vert n)$
  • Boris Feign and Feodor Malikov — Integral intertwining operators and complex powers of differential and q-difference operators
  • Dmitry Fuchs — Singular vectors over the Virasoro algebra and extended Verma modules
  • K. V. Kozerenko — Main theorems of invariant theory for the Lie algebra $\mathfrak {sl} (2)$ in the case of a field of finite characteristic
  • Feodor Malikov — On a duality for Z-graded algebras and modules
  • V. Yu. Ovsienko and O. D. Ovsienko — Projective structures and infinite-dimensional Lie algebras associated with a contact manifold
  • V. S. Retakh and V. N. Shander — The Schwartz derivative for noncommutative differential algebras
  • F. V. Weinstein — Filtering bases: a tool to compute cohomologies of abstract subalgebras of the Witt algebra
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
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