Introduction to affine group schemes [Perpetual] (Record no. 563542)
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| fixed length control field | 02168 a2200253 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20210706095630.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 210204b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9781461262176 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | IIT Kanpur |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510 |
| Item number | W292i |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Waterhouse, William C. |
| 245 ## - TITLE STATEMENT | |
| Title | Introduction to affine group schemes [Perpetual] |
| Statement of responsibility, etc | William C. Waterhouse |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher | Springer-Verlag |
| Year of publication | 1979 |
| Place of publication | New York |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xi,167p |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Graduate texts in mathematics; no.66 |
| 490 ## - SERIES STATEMENT | |
| Series statement | / edited by F. W. Gehring |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Ah Love! Could you and I with Him consl?ire To grasp this sorry Scheme of things entIre' KHAYYAM People investigating algebraic groups have studied the same objects in many different guises. My first goal thus has been to take three different viewpoints and demonstrate how they offer complementary intuitive insight into the subject. In Part I we begin with a functorial idea, discussing some familiar processes for constructing groups. These turn out to be equivalent to the ring-theoretic objects called Hopf algebras, with which we can then con struct new examples. Study of their representations shows that they are closely related to groups of matrices, and closed sets in matrix space give us a geometric picture of some of the objects involved. This interplay of methods continues as we turn to specific results. In Part II, a geometric idea (connectedness) and one from classical matrix theory (Jordan decomposition) blend with the study of separable algebras. In Part III, a notion of differential prompted by the theory of Lie groups is used to prove the absence of nilpotents in certain Hopf algebras. The ring-theoretic work on faithful flatness in Part IV turns out to give the true explanation for the behavior of quotient group functors. Finally, the material is connected with other parts of algebra in Part V, which shows how twisted forms of any algebraic structure are governed by its automorphism group scheme. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Group schemes (Mathematics) |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematics |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://link.springer.com/book/10.1007/978-1-4612-6217-6 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Collection code | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Full call number | Accession Number | Cost, replacement price | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Electronic Resources | PK Kelkar Library, IIT Kanpur | PK Kelkar Library, IIT Kanpur | 20/07/2021 | 88 | 41852.03 | 510 W292i | EBK10669 | 39859.08 | E books |