Hasse-Schmidt Derivations on Grassmann Algebras (Record no. 426524)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 03572nam a22005295i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9783319318424 |
| -- | 978-3-319-31842-4 |
| 024 7# - | |
| -- | 10.1007/978-3-319-31842-4 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA184-205 |
| 072 #7 - | |
| -- | PBF |
| -- | bicssc |
| 072 #7 - | |
| -- | MAT002050 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PBF |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.5 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Gatto, Letterio. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | Hasse-Schmidt Derivations on Grassmann Algebras |
| Medium | [electronic resource] : |
| Remainder of title | With Applications to Vertex Operators / |
| Statement of responsibility, etc | by Letterio Gatto, Parham Salehyan. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
| Koha item type | E-BOOKS |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | Cham : |
| Name of producer, publisher, distributor, manufacturer | Springer International Publishing : |
| -- | Imprint: Springer, |
| Date of production, publication, distribution, manufacture | 2016. |
| 300 ## - | |
| -- | XXIV, 195 p. 16 illus. |
| -- | online resource. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - | |
| -- | IMPA Monographs ; |
| -- | 4 |
| 505 0# - | |
| -- | Prologue -- Generic Linear Recurrence Sequences -- Algebras and Derivations -- Hasse-Schmidt Derivations on Exterior Algebras -- Schubert Derivations -- Decomposable Tensors in Exterior Powers -- Vertex Operators via Generic LRS -- Index. |
| 520 ## - | |
| -- | This book provides a comprehensive advanced multi-linear algebra course based on the concept of Hasse-Schmidt derivations on a Grassmann algebra (an analogue of the Taylor expansion for real-valued functions), and shows how this notion provides a natural framework for many ostensibly unrelated subjects: traces of an endomorphism and the Cayley-Hamilton theorem, generic linear ODEs and their Wronskians, the exponential of a matrix with indeterminate entries (Putzer's method revisited), universal decomposition of a polynomial in the product of two monic polynomials of fixed smaller degree, Schubert calculus for Grassmannian varieties, and vertex operators obtained with the help of Schubert calculus tools (Giambelli's formula). Significant emphasis is placed on the characterization of decomposable tensors of an exterior power of a free abelian group of possibly infinite rank, which then leads to the celebrated Hirota bilinear form of the Kadomtsev-Petviashvili (KP) hierarchy describing the Plücker embedding of an infinite-dimensional Grassmannian. By gathering ostensibly disparate issues together under a unified perspective, the book reveals how even the most advanced topics can be discovered at the elementary level. |
| 650 #0 - | |
| -- | Matrix theory. |
| 650 #0 - | |
| -- | Differential Equations. |
| 650 #0 - | |
| -- | Operator theory. |
| 650 14 - | |
| -- | Linear and Multilinear Algebras, Matrix Theory. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M11094 |
| 650 24 - | |
| -- | Ordinary Differential Equations. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12147 |
| 650 24 - | |
| -- | Operator Theory. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12139 |
| 700 1# - | |
| -- | Salehyan, Parham. |
| -- | author. |
| -- | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783319318417 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783319318431 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783319811345 |
| 830 #0 - | |
| -- | IMPA Monographs ; |
| -- | 4 |
| 856 40 - | |
| -- | https://doi.org/10.1007/978-3-319-31842-4 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
No items available.
