Quotients of Coexter Complexes and P-Partitions.
Reiner, Victor.
Quotients of Coexter Complexes and P-Partitions. - 1st ed. - 1 online resource (146 pages) - Memoirs of the American Mathematical Society ; v.95 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- 1 Introduction -- 2 Coxeter complexes and their quotients -- 2.1 Coxeter complexes -- 2.2 Quotients of Coxeter complexes -- 2.3 General results about quotients -- 2.4 Further general results about Σ(W,S) -- 3 P-partitions for other Coxeter groups -- 3.1 Definitions -- 3.2 P-partitions and Σ(W,S) -- 3.3 Two applications -- 3.4 Multipartite P-partitions -- 4 Quotients by reflection and alternating subgroups, and their diagonal embeddings -- 4.1 Reflection subgroups and their diagonal embeddings -- 4.2 Application: invariants of permutation groups -- 4.3 Alternating subgroups and their diagonal embeddings -- 5 Quotients by a Coxeter element -- 5.1 Introduction and definitions -- 5.2 Primitivity -- 6 Acknowledgments -- Appendix A: Technical results on reflection subgroups.
9781470408862
Coxeter complexes.
Partitions (Mathematics).
Electronic books.
QA608 -- .R456 1992eb
516.3/5
Quotients of Coexter Complexes and P-Partitions. - 1st ed. - 1 online resource (146 pages) - Memoirs of the American Mathematical Society ; v.95 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- 1 Introduction -- 2 Coxeter complexes and their quotients -- 2.1 Coxeter complexes -- 2.2 Quotients of Coxeter complexes -- 2.3 General results about quotients -- 2.4 Further general results about Σ(W,S) -- 3 P-partitions for other Coxeter groups -- 3.1 Definitions -- 3.2 P-partitions and Σ(W,S) -- 3.3 Two applications -- 3.4 Multipartite P-partitions -- 4 Quotients by reflection and alternating subgroups, and their diagonal embeddings -- 4.1 Reflection subgroups and their diagonal embeddings -- 4.2 Application: invariants of permutation groups -- 4.3 Alternating subgroups and their diagonal embeddings -- 5 Quotients by a Coxeter element -- 5.1 Introduction and definitions -- 5.2 Primitivity -- 6 Acknowledgments -- Appendix A: Technical results on reflection subgroups.
9781470408862
Coxeter complexes.
Partitions (Mathematics).
Electronic books.
QA608 -- .R456 1992eb
516.3/5