{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,8,12]],"date-time":"2022-08-12T01:50:39Z","timestamp":1660269039147},"reference-count":17,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[2003,7,1]],"date-time":"2003-07-01T00:00:00Z","timestamp":1057017600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":3669,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advances in Applied Mathematics"],"published-print":{"date-parts":[[2003,7]]},"DOI":"10.1016\/s0196-8858(02)00561-4","type":"journal-article","created":{"date-parts":[[2003,5,12]],"date-time":"2003-05-12T22:40:50Z","timestamp":1052779250000},"page":"163-179","source":"Crossref","is-referenced-by-count":17,"title":["Major and descent statistics for the even-signed permutation group"],"prefix":"10.1016","volume":"31","author":[{"given":"Riccardo","family":"Biagioli","sequence":"first","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0196-8858(02)00561-4_BIB001","doi-asserted-by":"crossref","first-page":"431","DOI":"10.1006\/eujc.2000.0469","article-title":"The flag major index and group actions on polynomial rings","volume":"22","author":"Adin","year":"2001","journal-title":"European J. Combin."},{"key":"10.1016\/S0196-8858(02)00561-4_BIB002","doi-asserted-by":"crossref","first-page":"210","DOI":"10.1006\/aama.2001.0731","article-title":"Descent numbers and major indices for the hyperoctahedral group","volume":"27","author":"Adin","year":"2001","journal-title":"Adv. Appl. Math."},{"key":"10.1016\/S0196-8858(02)00561-4_BIB003","unstructured":"R. Biagioli, Closed product formulas for extensions of generalized Verma modules, Trans. Amer. Math. Soc., to appear"},{"key":"10.1016\/S0196-8858(02)00561-4_BIB004","article-title":"Combinatorics of Coxeter Groups","author":"Bj\u00f6rner","year":"2001"},{"key":"10.1016\/S0196-8858(02)00561-4_BIB005","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1006\/eujc.1994.1046","article-title":"q-Eulerian polynomials arising from Coxeter groups","volume":"15","author":"Brenti","year":"1994","journal-title":"European J. Combin."},{"key":"10.1016\/S0196-8858(02)00561-4_BIB006","doi-asserted-by":"crossref","first-page":"51","DOI":"10.2307\/2319133","article-title":"A combinatorial property of q-Eulerian numbers","volume":"82","author":"Carlitz","year":"1975","journal-title":"Amer. Math. Monthly"},{"key":"10.1016\/S0196-8858(02)00561-4_BIB007","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1006\/eujc.1994.1039","article-title":"Eulerian calculus. I. Univariable statistics","volume":"15","author":"Clarke","year":"1994","journal-title":"Europ. J. Combin."},{"key":"10.1016\/S0196-8858(02)00561-4_BIB008","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1016\/0195-6698(95)90029-2","article-title":"Eulerian calculus. II. An extension of Han's fundamental transformation","volume":"16","author":"Clarke","year":"1995","journal-title":"European J. Combin."},{"key":"10.1016\/S0196-8858(02)00561-4_BIB009","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1016\/0195-6698(95)90016-0","article-title":"Eulerian calculus. III. The ubiquitous Cauchy formula","volume":"16","author":"Clarke","year":"1995","journal-title":"European J. Combin."},{"key":"10.1016\/S0196-8858(02)00561-4_BIB010","doi-asserted-by":"crossref","first-page":"236","DOI":"10.1090\/S0002-9939-1968-0223256-9","article-title":"On the netto inversion number of a sequence","volume":"19","author":"Foata","year":"1968","journal-title":"Proc. Amer. Math. Soc."},{"key":"10.1016\/S0196-8858(02)00561-4_BIB011","doi-asserted-by":"crossref","first-page":"553","DOI":"10.1006\/eujc.1993.1058","article-title":"Signed permutation statistics","volume":"14","author":"Reiner","year":"1993","journal-title":"European J. Combin."},{"key":"10.1016\/S0196-8858(02)00561-4_BIB012","doi-asserted-by":"crossref","first-page":"R25","DOI":"10.37236\/1219","article-title":"The distribution of descent and length in a Coxeter group","volume":"2","author":"Reiner","year":"1995","journal-title":"Electron. J. Combin."},{"key":"10.1016\/S0196-8858(02)00561-4_BIB013","article-title":"Reflection Groups and Coxeter Groups","volume":"29","author":"Humphreys","year":"1990"},{"key":"10.1016\/S0196-8858(02)00561-4_BIB014","series-title":"Combinatory Analysis","author":"MacMahon","year":"1915"},{"key":"10.1016\/S0196-8858(02)00561-4_BIB015","series-title":"Enumerative Combinatorics","author":"Stanley","year":"1986"},{"key":"10.1016\/S0196-8858(02)00561-4_BIB016","article-title":"Enumerative Combinatorics","volume":"62","author":"Stanley","year":"1999"},{"key":"10.1016\/S0196-8858(02)00561-4_BIB017","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1006\/eujc.1994.1021","article-title":"Permutation statistics of indexed permutations","volume":"15","author":"Steingrimsson","year":"1994","journal-title":"European J. Combin."}],"container-title":["Advances in Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0196885802005614?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0196885802005614?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2020,3,19]],"date-time":"2020-03-19T21:02:28Z","timestamp":1584651748000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0196885802005614"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,7]]},"references-count":17,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2003,7]]}},"alternative-id":["S0196885802005614"],"URL":"https:\/\/doi.org\/10.1016\/s0196-8858(02)00561-4","relation":{},"ISSN":["0196-8858"],"issn-type":[{"value":"0196-8858","type":"print"}],"subject":[],"published":{"date-parts":[[2003,7]]}}}