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Topics in hyperplane arrangements /

Aguiar, Marcelo, (1968-)

Topics in hyperplane arrangements /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Topics in hyperplane arrangements /Marcelo Aguiar, Swapneel Mahajan.
作者:	Aguiar, Marcelo,
其他作者:	Mahajan, Swapneel Arvind,
面頁冊數:	xxiv, 611 pages :illustrations ;27 cm.
標題:	Incidence algebras.
ISBN:	9781470437114

Topics in hyperplane arrangements /
Aguiar, Marcelo,1968-

Topics in hyperplane arrangements /Marcelo Aguiar, Swapneel Mahajan. - xxiv, 611 pages :illustrations ;27 cm. - Mathematical Surveys and Monographs ;volume 226.. - Mathematical surveys and monographs ;no. 175..

Includes bibliographical references (pages 579-595) and indexes.

Hyperplane arrangements -- Cones -- Lunes -- Category of lunes -- Reflection arrangements -- Braid arrangement and related examples -- Descent and lune equations -- Distance functions and Varchenko matrix -- Birkhoff algebra and Tits algebra -- Lie and Zie elements -- Eulerian idempotents -- Diagonalizability and characteristic elements -- Loewy series and Peirce decompositions -- Dynkin idempotents -- Incidence algebras -- Invariant Birkhoff algebra and invariant Tits algebra -- Appendix A. Regular cell complexes -- Appendix B. Posets -- Appendix C. Incidence algebras of posets -- Appendix D. Algebras and molecules -- Appendix E. Bands.

ISBN: 9781470437114$159.00

LCCN: 2017019308

Nat. Bib. No.: cam a2200253 i 4500Subjects--Topical Terms:

487284
Incidence algebras.

LC Class. No.: QA251.3 / A282 2017

Dewey Class. No.: 516/.11

Topics in hyperplane arrangements /
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050 0 0 $a QA251.3 $b A282 2017
082 0 0 $a 516/.11 $2 23
100 1 $a Aguiar, Marcelo, $d 1968- $3 239319
245 1 0 $a Topics in hyperplane arrangements / $c Marcelo Aguiar, Swapneel Mahajan.
264 1 $a Providence, Rhode Island : $b American Mathematical Society, $c [2017]
264 4 $c 2017.
300 $a xxiv, 611 pages : $b illustrations ; $c 27 cm.
490 1 $a Mathematical Surveys and Monographs ; $v volume 226.
504 $a Includes bibliographical references (pages 579-595) and indexes.
505 0 $a Hyperplane arrangements -- Cones -- Lunes -- Category of lunes -- Reflection arrangements -- Braid arrangement and related examples -- Descent and lune equations -- Distance functions and Varchenko matrix -- Birkhoff algebra and Tits algebra -- Lie and Zie elements -- Eulerian idempotents -- Diagonalizability and characteristic elements -- Loewy series and Peirce decompositions -- Dynkin idempotents -- Incidence algebras -- Invariant Birkhoff algebra and invariant Tits algebra -- Appendix A. Regular cell complexes -- Appendix B. Posets -- Appendix C. Incidence algebras of posets -- Appendix D. Algebras and molecules -- Appendix E. Bands.
650 0 $a Incidence algebras. $3 487284
650 0 $a Algebraic spaces. $3 345351
650 0 $a Hyperspace. $3 192359
650 0 $a Geometry, Plane. $3 275746
700 1 $a Mahajan, Swapneel Arvind, $d 1974- $3 827836
830 0 $a Mathematical surveys and monographs ; $v no. 175. $3 669033