Download E-books Dualities and Representations of Lie Superalgebras (Graduate Studies in Mathematics) PDF

By Shun-jen Cheng, Weiqiang Wang

This e-book supplies a scientific account of the constitution and illustration thought of finite-dimensional advanced Lie superalgebras of classical kind and serves as a very good advent to illustration thought of Lie superalgebras. a number of folklore effects are conscientiously proved (and sometimes corrected in detail), occasionally with new proofs. 3 vital dualities are provided within the ebook, with the unifying subject matter of picking irreducible characters of Lie superalgebras. so as of accelerating sophistication, they're Schur duality, Howe duality, and tremendous duality. The combinatorics of symmetric capabilities is constructed as wanted in connections to Harish-Chandra homomorphism in addition to irreducible characters for Lie superalgebras. Schur-Sergeev duality for the queer Lie superalgebra is gifted from scratch with entire element. Howe duality for Lie superalgebras is gifted in e-book shape for the 1st time. tremendous duality is a brand new strategy built long ago few years towards knowing the Bernstein-Gelfand-Gelfand classification of modules for classical Lie superalgebras. tremendous duality relates the illustration concept of classical Lie superalgebras on to the illustration thought of classical Lie algebras and therefore provides an answer to the irreducible personality challenge of Lie superalgebras through the Kazhdan-Lusztig polynomials of classical Lie algebras.

Show description

Read Online or Download Dualities and Representations of Lie Superalgebras (Graduate Studies in Mathematics) PDF

Best Algebra Trigonometry books

Holt Algebra 2: Student Edition 2007

Take scholars a step extra in studying algebra specifically written for low-level novices, Algebra 2 covers a number of tools for fixing quadratic equations, reminiscent of factoring, finishing the sq., and graphing. The textual content additionally introduces trigonometry and exponential functions—vital ideas for actual global purposes.

McGraw-Hill's 500 College Algebra and Trigonometry Questions: Ace Your College Exams: 3 Reading Tests + 3 Writing Tests + 3 Mathematics Tests (McGraw-Hill's 500 Questions)

500 how you can in attaining Your top Grades we'd like you to be successful in your university algebra and trigonometry midterm and ultimate checks. that is why we have now chosen those 500 inquiries to assist you learn extra successfully, use your guidance time properly, and get your most sensible grades. those questions and solutions are just like those you can find on a customary university examination, so that you will be aware of what to anticipate on try day.

MyMathLab College Algebra: Guided Notebook, 2nd Edition

This can be the guided laptop by way of Krik Trigsted, university Algebra second version to be used with mymathlab (unbound yet unwrapped).

Additional resources for Dualities and Representations of Lie Superalgebras (Graduate Studies in Mathematics)

Show sample text content

Rated 4.36 of 5 – based on 32 votes