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The Resource Hasse-Schmidt Derivations on Grassmann Algebras : With Applications to Vertex Operators

Hasse-Schmidt Derivations on Grassmann Algebras : With Applications to Vertex Operators

Label
Hasse-Schmidt Derivations on Grassmann Algebras : With Applications to Vertex Operators
Title
Hasse-Schmidt Derivations on Grassmann Algebras
Title remainder
With Applications to Vertex Operators
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Contributor
Subject
Language
eng
Member of
Cataloging source
MiAaPQ
Literary form
non fiction
Nature of contents
dictionaries
Series statement
IMPA Monographs
Series volume
v.4
Hasse-Schmidt Derivations on Grassmann Algebras : With Applications to Vertex Operators
Label
Hasse-Schmidt Derivations on Grassmann Algebras : With Applications to Vertex Operators
Link
http://libproxy.rpi.edu/login?url=https://ebookcentral.proquest.com/lib/rpi/detail.action?docID=4586762
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Copyright
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Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Preface -- Acknowledgments -- Partial List of Notation -- Introduction -- Contents -- 1 Prologue -- 1.1 The KdV and the KP Equations -- 1.2 Vertex Operators and Affine Lie Algebras -- 1.3 Vertex Operators and Vertex Algebras -- 1.4 The KP Hierarchy via Vertex Operators -- 1.5 Notes and References -- 2 Generic Linear Recurrence Sequences -- 2.1 Sequences in Modules over Algebras -- 2.2 Generic Polynomials, Partitions and Schur Determinants -- 2.3 Generic Linear Recurrence Sequences -- 2.4 Cauchy Problems for Linear Recurrence Sequences -- 2.5 Formal Laplace Transform and Linear ODEs -- 2.6 Generalized Wronskians -- 2.7 Notes and References -- 2.8 Exercises -- 3 Algebras and Derivations -- 3.1 Tensor and Exterior Algebra of a Module -- 3.2 Exterior Algebra of a Free A-Module -- 3.3 Exterior Algebras Versus Clifford Algebras -- 3.4 Derivations, in General -- 3.5 Derivations on an Exterior Algebra -- 3.6 Notes and References -- 3.7 Exercises -- 4 Hasse-Schmidt Derivations on Exterior Algebras -- 4.1 Main Definitions and Properties -- 4.2 The Trace Operator Polynomials -- 4.3 The Exponential of an Endomorphism -- 4.4 Notes and References -- 4.5 Exercises -- 5 Schubert Derivations -- 5.1 Generalities on Schubert Derivations -- 5.2 Pieri Formula for Schubert Derivations -- 5.3 The Grassmannian and Its Plücker Embedding -- 5.4 Relationship with Schubert Calculus -- 5.5 Examples -- 5.6 Module Structures Induced by Schubert Derivations, I -- 5.7 Module Structures Induced by Schubert Derivations, II -- 5.8 Giambelli Formula -- 5.9 Application to Modules of Finite Rank -- 5.10 Notes and References -- 5.11 Exercises -- 6 Decomposable Tensors in Exterior Powers -- 6.1 A Criterion for Decomposability -- 6.2 A Schubert Derivation with a Stability Property -- 6.3 On Vertex-Like Operators -- 6.4 Plücker Equations for Grassmann Cones
  • 6.5 On the Infinite Exterior Power I -- 6.6 Notes and References -- 6.7 Exercises -- 7 Vertex Operators via Generic LRS -- 7.1 Bosonic and Fermionic Fock Spaces of Finite Order -- 7.2 The Finite Order Boson-Fermion Correspondence -- 7.3 On the Infinite Exterior Power II -- 7.4 On the Finite-Dimensional Heisenberg Algebra -- 7.5 Schubert Derivations on the Fermionic Modules -- 7.6 Extending the Boson-Fermion Correspondence -- 7.7 Computing Truncated Vertex Operators -- 7.8 Vertex Operators in the Classical Boson-Fermion Correspondence -- 7.9 Notes and References -- 7.10 Exercises -- References -- Index
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{'f': 'http://opac.lib.rpi.edu/record=b4385655'}
Extent
1 online resource (217 pages)
Form of item
online
Isbn
9783319318424
Media category
computer
Media MARC source
rdamedia
Media type code
c
Sound
unknown sound
Specific material designation
remote

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