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Save for Later. Reliable customer service and no-hassle return policy. Bookseller Inventory Bookseller Inventory Ask Seller a Question. About this title Synopsis: The volume is the outcome of the conference "Lie superalgebras," which was held at the Istituto Nazionale di Alta Matematica, in The even part of the group is O 3 xSO 7 so three invariants are:.

## 3-Lie Superalgebras Induced by Lie Superalgebras

This group is related to the octonions by considering the 16 component spinors as two component octonion spinors and the gamma matrices acting on the upper indices as unit octonions. G 3 This exceptional Lie superalgebra has dimension 31 and is a sub-algebra of OSp 17 The invariants are similar to the above it being a subalgebra of the F 4? There are also two so-called strange series called p n and q n. Infinite-dimensional affine Lie superalgebras are important symmetries in superstring theory. In category theory , a Lie superalgebra can be defined as a nonassociative superalgebra whose product satisfies.

In diagrammatic form:. From Wikipedia, the free encyclopedia.

### Symmetric Lie superalgebras and deformed quantum Calogero-Moser problems

String theory. Strings History of string theory First superstring revolution Second superstring revolution String theory landscape. T-duality S-duality U-duality Montonen—Olive duality.

Kaluza—Klein theory Compactification Why 10 dimensions? Lusztig, Representations of Coxeter groups and Hecke algebras, Invent. MR 81j [Kv] A. Kleshchev, Branching rules for modular representations of symmetric groups, II, J. MR 96m [Ku] J. Lascoux, B.

### Submission history

Leclerc and J. Thibon, Hecke algebras at roots of unity and crystal bases of quantum affine algebras, Comm. MR 97k [L] G. Lusztig, Introduction to quantum groups , Progress in Math. MR 94m [Mac] I. MR 96h [M] Yu I. Manin, Gauge field theory and complex geometry , Grundlehren der mathematischen Wissenschaften , second edition, Springer, MR 99e [PS1] I.

Penkov and V. Serganova, Representations of classical Lie superalgebras of type I, Indag.

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MR 93k [PS2] I. Serganova, Generic irreducible representations of finite dimensional Lie superalgebras, Internat. MR 95c [S1] V. Serganova, Kazhdan-Lusztig polynomials for the Lie superalgebra , Adv. MR 94k [S3] V. Serganova, Kazhdan-Lusztig polynomials and character formula for the Lie superalgebra , Selecta Math. MR 98f [Sg1] A. Sergeev, Tensor algebra of the identity representation as a module over the Lie superalgebras and , Math.

- Advances in Lie Superalgebras | Maria Gorelik | Springer?
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USSR Sbornik 51 , MR 85h [Sg2] A. Sergeev, The invariant polynomials on simple Lie superalgebras, Represent. Theory 3 , MR k [So1] W. Soergel, Kazhdan-Lusztig polynomials and a combinatoric for tilting modules, Represent. Theory 1 , MR 98d [So2] W. Soergel, Character formulas for tilting modules over Kac-Moody algebras, Represent.

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## Lie superalgebra - Wikipedia

Theory 2 , MR c [V] D. MR 81f [W] C. Weibel, An introduction to homological algebra , CUP, MR 95f [Z] Y. Zou, Categories of finite dimensional weight modules over type I classical Lie superalgebras, J. MR 97e