Lie Groups, Lie Algebras, and Cohomology
Regular price
€176.08
14 days return policy
Shipping & Delivery
A01=Anthony W. Knapp
Abelian category
Algebraic equation
Associative algebra
Author_Anthony W. Knapp
Automorphism
Category=PBF
Closure (mathematics)
Cohomology
Complex conjugate representation
Complex manifold
Complexification
Computation
De Rham cohomology
Degeneracy (mathematics)
Derived functor
Diagram (category theory)
Differentiable manifold
Dimension (vector space)
Dolbeault cohomology
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Explicit formulae (L-function)
Exponential map (Lie theory)
Exterior algebra
Functor
General linear group
Grothendieck spectral sequence
Group homomorphism
Hermitian symmetric space
Homological algebra
Homology (mathematics)
Implicit function theorem
Invariant subspace
Inverse function theorem
Irreducible representation
Isometry group
Levi decomposition
Lie algebra
Lie algebra cohomology
Lie algebra extension
Lie algebra representation
Lie group
Lie theory
Linear algebra
Linear map
Mathematical induction
Mathematics
Matrix group
Multilinear algebra
Neighbourhood (mathematics)
Permutation group
Polynomial
Projective module
Quotient space (topology)
Ring (mathematics)
Scalar multiplication
Semisimple Lie algebra
Solvable Lie algebra
Special linear group
Spectral sequence
Stone-Weierstrass theorem
Subgroup
Symmetric algebra
Symplectic group
Tensor algebra
Tensor product
Theorem
Three-dimensional space (mathematics)
Topological group
Uniqueness theorem
Universal enveloping algebra
Variable (mathematics)
Vector space
Zorn's lemma
Product details
- ISBN 9780691084985
- Weight: 709g
- Dimensions: 152 x 235mm
- Publication Date: 21 May 1988
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
Secure
checkout
Fast Shipping
Easy returns
This book starts with the elementary theory of Lie groups of matrices and arrives at the definition, elementary properties, and first applications of cohomological induction, which is a recently discovered algebraic construction of group representations. Along the way it develops the computational techniques that are so important in handling Lie groups. The book is based on a one-semester course given at the State University of New York, Stony Brook in fall, 1986 to an audience having little or no background in Lie groups but interested in seeing connections among algebra, geometry, and Lie theory. These notes develop what is needed beyond a first graduate course in algebra in order to appreciate cohomological induction and to see its first consequences. Along the way one is able to study homological algebra with a significant application in mind; consequently one sees just what results in that subject are fundamental and what results are minor.
