Groupes algébriques semi-simples en dimension cohomologique ≤2 (Record no. 21633)
[ view plain ]
000 -LEADER | |
---|---|
fixed length control field | 03523nam a22004935i 4500 |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20200701170748.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 190524s2019 gw | s |||| 0|fre d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 9783030172725 |
-- | 978-3-030-17272-5 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 512.2 |
100 1# - MAIN ENTRY--AUTHOR NAME | |
Personal name | Gille, Philippe. |
245 10 - TITLE STATEMENT | |
Title | Groupes algébriques semi-simples en dimension cohomologique ≤2 |
Remainder of title | Semisimple algebraic groups in cohomological dimension ≤2 / |
Statement of responsibility, etc | by Philippe Gille. |
250 ## - EDITION STATEMENT | |
Edition statement | 1st ed. 2019. |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | XXII, 169 p. |
490 1# - SERIES STATEMENT | |
Series statement | Lecture Notes in Mathematics, |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | Préface -- 1 Généralités -- 2 Groupes réductifs -- 3 Sous-groupes des groupes algébriques, déploiement -- 4 Dimension cohomologique séparable -- 5 Tores algébriques, Conjecture I et groupes de normes -- 6 Conjecture II, le cas quasi–déployé -- 7 Groupes classiques -- 8 Groupes exceptionnels -- 9 Applications -- Appendice : Indices de Tits -- Bibliographie -- Index. |
520 ## - SUMMARY, ETC. | |
Summary, etc | La théorie des groupes algébriques sur un corps arbitraire est l’une des branches les plus merveilleuses des mathématiques modernes. Cette monographie porte sur les groupes algébriques semi-simples définis sur un corps k de dimension cohomologique séparable <=2 et la cohomologie galoisienne d’iceux. La question ouverte la plus importante est la conjecture II de Serre (1962) qui prédit l’annulation de la cohomologie galoisienne d’un groupe semi-simple simplement connexe. Utilisant principalement des techniques de groupes algébriques, on couvre tous les cas connus de la conjecture: les cas classiques (dus à Bayer-Fluckiger and Parimala) ainsi que les avancées sur les cas exceptionnels restants (par exemple de type E8). Ceci s’applique à la classification des groupes semi-simples. The theory of algebraic groups over arbitrary fields is one of the most beautiful branches of modern mathematics. This monograph deals with semisimple algebraic groups over a general field k of separable cohomological dimension ^rimala), and some perspectives are given on the remaining exceptional cases (e.g., G of type E8). Applications to the classification of semisimple k-groups are presented. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Group theory. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Algebra. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Group Theory and Generalizations. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | General Algebraic Systems. |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | https://doi.org/10.1007/978-3-030-17272-5 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | EBooks |
037 ## - SOURCE OF ACQUISITION | |
Source of stock number/acquisition | Indica Technologies & Services Pvt. Ltd., 7/31, Ansari Road, Daryaganj, New Delhi-110002 |
264 #1 - | |
-- | Cham : |
-- | Springer International Publishing : |
-- | Imprint: Springer, |
-- | 2019. |
336 ## - | |
-- | text |
-- | txt |
-- | rdacontent |
337 ## - | |
-- | computer |
-- | c |
-- | rdamedia |
338 ## - | |
-- | online resource |
-- | cr |
-- | rdacarrier |
347 ## - | |
-- | text file |
-- | |
-- | rda |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
-- | http://scigraph.springernature.com/things/product-market-codes/M11078 |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
-- | http://scigraph.springernature.com/things/product-market-codes/M1106X |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
-- | 0075-8434 ; |
912 ## - | |
-- | ZDB-2-SMA |
912 ## - | |
-- | ZDB-2-LNM |
No items available.