Polynomial Elements in Canonical Basis B with Two-dimensional Support for Type A4 (I)
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Type A
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All 62 monomial elements and 144 polynomial elements with one-dimensional support in the canonical basis B of the quantum group for type A4 have been determined in [5] and [4], respectively. It is conjectured in [4] that there are other polynomial elements in B with two- or three-dimensional support. In this paper, we compute 50 polynomial elements with two-dimensional support of different-exponent type and 62 polynomial elements with two-dimensional support of same-exponent type in the canonical basis B of the quantum group for type A4.
2012 ◽
Vol 57
(4)
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pp. 724-803
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2002 ◽
Vol 12
(4)
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pp. 1044-1052
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2004 ◽
Vol 109
(C1)
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2003 ◽
Vol 9
(10)
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pp. 1159-1187
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