## dedicated to professor bruno pini on his 80th birthday We give a condition which ensures that if one inequality of Sobolev Poincare type is valid then other stronger inequalities of a similar type also hold, including weighted versions. Our main result includes many previously known results as
Koszul Property and Poincaré Series of Matrix Bialgebras of TypeAn
✍ Scribed by Phung Ho Hai
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 228 KB
- Volume
- 192
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
Bialgebras, defined by means of Yang᎐Baxter operators which verify the Hecke equation, are considered. It is shown that they are Koszul algebras. Their Poincare śeries are calculated via the Poincare series of the corresponding quantum planes. ᮊ 1997 Academic Press * Supported by DFG at the Graduiertenkolleg ''Mathematik im Bereich ihrer Wechselwirkung mit der Physik,'
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