REPRESENTATION-THEORETIC INTERPRETATION OF CHEREDNIK-ORR’S RECURSION FORMULA FOR THE SPECIALIZATION OF NONSYMMETRIC MACDONALD POLYNOMIALS AT T
We give a representation-theoretic (or rather, crystal-theoretic) proof of Cherednik-Orr's recursion formula of Demazure type for the specialization at t = ∞ of the nonsymmetric Macdonald polynomials E w λ ( q , t ), w ∈ W , where λ is a dominant integral weight and W is a finite Weyl group....
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| Veröffentlicht in: | Transformation groups 2019-03, Vol.24 (1), p.155-191 |
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| container_end_page | 191 |
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| container_title | Transformation groups |
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| creator | NAITO, SATOSHI NOMOTO, FUMIHIKO SAGAKI, DAISUKE |
| description | We give a representation-theoretic (or rather, crystal-theoretic) proof of Cherednik-Orr's recursion formula of Demazure type for the specialization at
t
= ∞ of the nonsymmetric Macdonald polynomials
E
w
λ
(
q
,
t
),
w
∈
W
, where λ is a dominant integral weight and
W
is a finite Weyl group. |
| doi_str_mv | 10.1007/s00031-017-9467-0 |
| format | Article |
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t
= ∞ of the nonsymmetric Macdonald polynomials
E
w
λ
(
q
,
t
),
w
∈
W
, where λ is a dominant integral weight and
W
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t
= ∞ of the nonsymmetric Macdonald polynomials
E
w
λ
(
q
,
t
),
w
∈
W
, where λ is a dominant integral weight and
W
is a finite Weyl group.</description><subject>Algebra</subject><subject>Lie Groups</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Polynomials</subject><subject>Representations</subject><subject>Topological Groups</subject><subject>Weight</subject><issn>1083-4362</issn><issn>1531-586X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp1kLFOwzAYhCMEEqXwAGyWmA2_ncRJxyh1aUQSV44rURYrTRxEBS0kdGDjEVh5PZ4ER0EwMZ3l--5-6RznnMAlAQiuOgBwCQYS4InHAgwHzoj49scP2e2hfUPoYs9l9Ng56boNWJAxNnI-JF9IXvBcRSoROVZzLiRXSYySXHFpvcFAYobiOZd8mic3WEj59f5ZIMnjpSx6eyZktkyjXpHtQMWCx0mUJne_6VzkxSrLuJK2PIviqcijdIoWIl3lIrNsgSKF1Klz1JSPnTn70bGznHEVz3EqrpM4SnFFXQK4cVkdGI9QVgHQScXCekIpJRWp3Jqt_YAZrwrJ2gpx66CpwZRQeaUxpfG9xnPHzsXQ-9zuXvame9Wb3b7d2pOaktCnQMgksBQZqKrddV1rGv3cPjyV7ZsmoPvh9TC8tnvqfngNNkOHTGfZ7b1p_5r_D30DZGp79g</recordid><startdate>20190315</startdate><enddate>20190315</enddate><creator>NAITO, SATOSHI</creator><creator>NOMOTO, FUMIHIKO</creator><creator>SAGAKI, DAISUKE</creator><general>Springer US</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20190315</creationdate><title>REPRESENTATION-THEORETIC INTERPRETATION OF CHEREDNIK-ORR’S RECURSION FORMULA FOR THE SPECIALIZATION OF NONSYMMETRIC MACDONALD POLYNOMIALS AT T</title><author>NAITO, SATOSHI ; NOMOTO, FUMIHIKO ; SAGAKI, DAISUKE</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2310-f36d7e4126c0029c68d92221c1c3d6b576e4c81b6e413d7fd0ea0c4aeeae54f43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Algebra</topic><topic>Lie Groups</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Polynomials</topic><topic>Representations</topic><topic>Topological Groups</topic><topic>Weight</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>NAITO, SATOSHI</creatorcontrib><creatorcontrib>NOMOTO, FUMIHIKO</creatorcontrib><creatorcontrib>SAGAKI, DAISUKE</creatorcontrib><collection>CrossRef</collection><jtitle>Transformation groups</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>NAITO, SATOSHI</au><au>NOMOTO, FUMIHIKO</au><au>SAGAKI, DAISUKE</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>REPRESENTATION-THEORETIC INTERPRETATION OF CHEREDNIK-ORR’S RECURSION FORMULA FOR THE SPECIALIZATION OF NONSYMMETRIC MACDONALD POLYNOMIALS AT T</atitle><jtitle>Transformation groups</jtitle><stitle>Transformation Groups</stitle><date>2019-03-15</date><risdate>2019</risdate><volume>24</volume><issue>1</issue><spage>155</spage><epage>191</epage><pages>155-191</pages><issn>1083-4362</issn><eissn>1531-586X</eissn><abstract>We give a representation-theoretic (or rather, crystal-theoretic) proof of Cherednik-Orr's recursion formula of Demazure type for the specialization at
t
= ∞ of the nonsymmetric Macdonald polynomials
E
w
λ
(
q
,
t
),
w
∈
W
, where λ is a dominant integral weight and
W
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| language | eng |
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| subjects | Algebra Lie Groups Mathematics Mathematics and Statistics Polynomials Representations Topological Groups Weight |
| title | REPRESENTATION-THEORETIC INTERPRETATION OF CHEREDNIK-ORR’S RECURSION FORMULA FOR THE SPECIALIZATION OF NONSYMMETRIC MACDONALD POLYNOMIALS AT T |
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