"Ring of symmetric functions"의 두 판 사이의 차이

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structure on ring of symmetric functions
  
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# commutative algebra
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# cocommutative coalgebra
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# antipode involutions
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# symmetric bilinear form <,> algebra structure dual to coalgebra structure
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# partial order \geq
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# lots of bases
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1,2,3 => commutative, cocommutative Hopf algebra, coordinate ring of a commutative group scheme
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S\otimes \mathbb{Q} is UEA of a Lie algebra

2012년 4월 4일 (수) 10:50 판

structure on ring of symmetric functions

 

  1. commutative algebra
  2. cocommutative coalgebra
  3. antipode involutions
  4. symmetric bilinear form <,> algebra structure dual to coalgebra structure
  5. partial order \geq
  6. lots of bases

 

1,2,3 => commutative, cocommutative Hopf algebra, coordinate ring of a commutative group scheme

 

 

S\otimes \mathbb{Q} is UEA of a Lie algebra

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