HOME > Detail View

Detail View

Developments and retrospectives in lie theory [electronic resource] : algebraic methods

Developments and retrospectives in lie theory [electronic resource] : algebraic methods

Material type
E-Book(소장)
Personal Author
Mason, Geoffrey. Penkov, Ivan. Wolf, Joseph A.
Title Statement
Developments and retrospectives in lie theory [electronic resource] : algebraic methods / Geoffrey Mason, Ivan Penkov, Joseph A. Wolf, editors.
Publication, Distribution, etc
Cham :   Springer International Publishing :   Imprint: Springer,   2014.  
Physical Medium
1 online resource (x, 397 p.) : ill. (some col.).
Series Statement
Developments in mathematics,1389-2177 ; 38
ISBN
9783319098043
요약
This volume reviews and updates a prominent series of workshops in representation/Lie theory, and reflects the widespread influence of those  workshops in such areas as harmonic analysis, representation theory, differential geometry, algebraic geometry, and mathematical physics.  Many of the contributors have had leading roles in both the classical and modern developments of Lie theory and its applications. This Work, entitled Developments and Retrospectives in Lie Theory, and comprising 26 articles, is organized in two volumes: Algebraic Methods and Geometric and Analytic Methods. This is the Algebraic Methods volume. The Lie Theory Workshop series, founded by Joe Wolf and Ivan Penkov and joined shortly thereafter by Geoff Mason, has been running for over two decades. Travel to the workshops has usually been supported by the NSF, and local universities have provided hospitality. The workshop talks have been seminal in describing new perspectives in the field covering broad areas of current research.  Most of the workshops have taken place at leading public and private universities in California, though on occasion workshops have taken place in Oregon, Louisiana and Utah.  Experts in representation theory/Lie theory from various parts of  the Americas, Europe and Asia have given talks at these meetings. The workshop series is robust, and the meetings continue on a quarterly basis.  Contributors to the Algebraic Methods volume: Y. Bahturin, C. P. Bendel, B.D. Boe, J. Brundan, A. Chirvasitu, B. Cox, V. Dolgushev, C.M. Drupieski, M.G. Eastwood, V. Futorny, D. Grantcharov, A. van Groningen, M. Goze, J.-S. Huang, A.V. Isaev, I. Kashuba, R.A. Martins, G. Mason, D. Miličić, D.K., Nakano, S.-H. Ng, B.J. Parshall, I. Penkov, C. Pillen, E. Remm, V. Serganova, M.P. Tuite, H.D. Van, J.F. Willenbring, T. Willwacher, C.B. Wright, G. Yamskulna, G. Zuckerman.
General Note
Title from e-Book title page.  
Content Notes
Group gradings on Lie algebras with applications to geometry. I (Y. Bahturin, M. Goze, E. Remm) -- Bounding the dimensions of rational cohomology groups (C.P. Bendel, B.D. Boe, C.M. Drupieski, D.K. Nakano, B.J. Parshall, C. Pillen, C.B. Wright) -- Representations of the general linear Lie superalgebra in the BGG Category {$\mathcal O$} (J. Brundan) -- Three results on representations of Mackey Lie algebras (A. Chirvasitu) -- Free field realizations of the Date–Jimbo–Kashiwara–Miwa algebra (B. Cox, V. Futorny, R.A. Martins) -- The deformation complex is a homotopy invariant of a homotopy algebra (V. Dolgushev, T. Willwacher) -- Invariants of Artinian Gorenstein algebras and isolated hypersurface singularities (M.G. Eastwood, A.V. Isaev) -- Generalized loop modules for affine Kac–Moody algebras (V. Futorny, I. Kashuba) -- Twisted localization of weight modules (D. Grantcharov) -- Dirac cohomology and generalization of classical branching rules (J.-S. Huang) -- Cleft extensions and quotients of twisted quantum doubles (G. Mason, S.-H. Ng) -- On the structure of ${\Bbb N}$-graded vertex operator algebras (G. Mason, G. Yamskulna) -- Variations on a Casselman–Osborne theme (D. Miličić) -- Tensor representations of Mackey Lie algebras and their dense subalgebras (I. Penkov, V. Serganova) -- Algebraic methods in the theory of generalized Harish–Chandra modules (I. Penkov, G. Zuckerman) -- On exceptional vertex operator (super) algebras (M.P. Tuite, H.D. Van) -- The cubic, the quartic, and the exceptional group $G_2$ (A. van Groningen, J.F. Willenbring).
Bibliography, Etc. Note
Includes bibliographical references.
이용가능한 다른형태자료
Issued also as a book.  
Subject Added Entry-Topical Term
Lie algebras. Lie groups. Mathematics --Research.
Short cut
URL
000 00000nam u2200205 a 4500
001 000046046700
005 20200922101743
006 m d
007 cr
008 200916s2014 sz a ob 000 0 eng d
020 ▼a 9783319098043
040 ▼a 211009 ▼c 211009 ▼d 211009
050 4 ▼a QA252.3
082 0 4 ▼a 512.55 ▼2 23
084 ▼a 512.55 ▼2 DDCK
090 ▼a 512.55
245 0 0 ▼a Developments and retrospectives in lie theory ▼h [electronic resource] : ▼b algebraic methods / ▼c Geoffrey Mason, Ivan Penkov, Joseph A. Wolf, editors.
260 ▼a Cham : ▼b Springer International Publishing : ▼b Imprint: Springer, ▼c 2014.
300 ▼a 1 online resource (x, 397 p.) : ▼b ill. (some col.).
490 1 ▼a Developments in mathematics, ▼x 1389-2177 ; ▼v 38
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references.
505 0 ▼a Group gradings on Lie algebras with applications to geometry. I (Y. Bahturin, M. Goze, E. Remm) -- Bounding the dimensions of rational cohomology groups (C.P. Bendel, B.D. Boe, C.M. Drupieski, D.K. Nakano, B.J. Parshall, C. Pillen, C.B. Wright) -- Representations of the general linear Lie superalgebra in the BGG Category {$\mathcal O$} (J. Brundan) -- Three results on representations of Mackey Lie algebras (A. Chirvasitu) -- Free field realizations of the Date–Jimbo–Kashiwara–Miwa algebra (B. Cox, V. Futorny, R.A. Martins) -- The deformation complex is a homotopy invariant of a homotopy algebra (V. Dolgushev, T. Willwacher) -- Invariants of Artinian Gorenstein algebras and isolated hypersurface singularities (M.G. Eastwood, A.V. Isaev) -- Generalized loop modules for affine Kac–Moody algebras (V. Futorny, I. Kashuba) -- Twisted localization of weight modules (D. Grantcharov) -- Dirac cohomology and generalization of classical branching rules (J.-S. Huang) -- Cleft extensions and quotients of twisted quantum doubles (G. Mason, S.-H. Ng) -- On the structure of ${\Bbb N}$-graded vertex operator algebras (G. Mason, G. Yamskulna) -- Variations on a Casselman–Osborne theme (D. Miličić) -- Tensor representations of Mackey Lie algebras and their dense subalgebras (I. Penkov, V. Serganova) -- Algebraic methods in the theory of generalized Harish–Chandra modules (I. Penkov, G. Zuckerman) -- On exceptional vertex operator (super) algebras (M.P. Tuite, H.D. Van) -- The cubic, the quartic, and the exceptional group $G_2$ (A. van Groningen, J.F. Willenbring).
520 ▼a This volume reviews and updates a prominent series of workshops in representation/Lie theory, and reflects the widespread influence of those  workshops in such areas as harmonic analysis, representation theory, differential geometry, algebraic geometry, and mathematical physics.  Many of the contributors have had leading roles in both the classical and modern developments of Lie theory and its applications. This Work, entitled Developments and Retrospectives in Lie Theory, and comprising 26 articles, is organized in two volumes: Algebraic Methods and Geometric and Analytic Methods. This is the Algebraic Methods volume. The Lie Theory Workshop series, founded by Joe Wolf and Ivan Penkov and joined shortly thereafter by Geoff Mason, has been running for over two decades. Travel to the workshops has usually been supported by the NSF, and local universities have provided hospitality. The workshop talks have been seminal in describing new perspectives in the field covering broad areas of current research.  Most of the workshops have taken place at leading public and private universities in California, though on occasion workshops have taken place in Oregon, Louisiana and Utah.  Experts in representation theory/Lie theory from various parts of  the Americas, Europe and Asia have given talks at these meetings. The workshop series is robust, and the meetings continue on a quarterly basis.  Contributors to the Algebraic Methods volume: Y. Bahturin, C. P. Bendel, B.D. Boe, J. Brundan, A. Chirvasitu, B. Cox, V. Dolgushev, C.M. Drupieski, M.G. Eastwood, V. Futorny, D. Grantcharov, A. van Groningen, M. Goze, J.-S. Huang, A.V. Isaev, I. Kashuba, R.A. Martins, G. Mason, D. Miličić, D.K., Nakano, S.-H. Ng, B.J. Parshall, I. Penkov, C. Pillen, E. Remm, V. Serganova, M.P. Tuite, H.D. Van, J.F. Willenbring, T. Willwacher, C.B. Wright, G. Yamskulna, G. Zuckerman.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Lie algebras.
650 0 ▼a Lie groups.
650 0 ▼a Mathematics ▼x Research.
700 1 ▼a Mason, Geoffrey.
700 1 ▼a Penkov, Ivan.
700 1 ▼a Wolf, Joseph A.
830 0 ▼a Developments in mathematics ; ▼v 38.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.1007/978-3-319-09804-3
945 ▼a KLPA
991 ▼a E-Book(소장)

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Main Library/e-Book Collection/ Call Number CR 512.55 Accession No. E14032759 Availability Loan can not(reference room) Due Date Make a Reservation Service M

New Arrivals Books in Related Fields