2017年9月1日
Type Dn(1) rigged configuration bijection
Journal of Algebraic Combinatorics
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- ,
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- 巻
- 46
- 号
- 2
- 開始ページ
- 341
- 終了ページ
- 401
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1007/s10801-017-0756-4
- 出版者・発行元
- Springer New York LLC
We establish a bijection between the set of rigged configurations and the set of tensor products of Kirillov–Reshetikhin crystals of type Dn(1) in full generality. We prove the invariance of rigged configurations under the action of the combinatorial R-matrix on tensor products and show that the bijection preserves certain statistics (cocharge and energy). As a result, we establish the fermionic formula for type Dn(1). In addition, we establish that the bijection is a classical crystal isomorphism.
- ID情報
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- DOI : 10.1007/s10801-017-0756-4
- ISSN : 1572-9192
- ISSN : 0925-9899
- SCOPUS ID : 85017191237