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Studies of the dwarfing mechanism of apple rootstocksKamboj, Jaswant Singh January 1996 (has links)
No description available.
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Testing the safety-net hypothesis in hedgerow intercropping : water balance and mineral N leaching in the humid tropicsSuprayogo, Didik January 2000 (has links)
No description available.
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Representations of affine truncations of representation involutive-semirings of Lie algebras and root systems of higher typeGraves, Timothy W Unknown Date
No description available.
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Computing the standard Poisson structure on Bott-Samelson varieties incoordinatesElek, Balázes. January 2012 (has links)
Bott-Samelson varieties associated to reductive algebraic groups are much studied in representation theory and algebraic geometry. They not only provide resolutions of singularities for Schubert varieties but also have interesting geometric properties of their own. A distinguished feature of Bott-Samelson varieties is that they admit natural affine coordinate charts, which allow explicit computations of geometric quantities in coordinates.
Poisson geometry dates back to 19th century mechanics, and the more recent theory of quantum groups provides a large class of Poisson structures associated to reductive algebraic groups. A holomorphic Poisson structure Π on Bott-Samelson varieties associated to complex semisimple Lie groups, referred to as the standard Poisson structure on Bott-Samelson varieties in this thesis, was introduced and studied by J. H. Lu. In particular, it was shown by Lu that the Poisson structure Π was algebraic and gave rise to an iterated Poisson polynomial algebra associated to each affine chart of the Bott-Samelson variety. The formula by Lu, however, was in terms of certain holomorphic vector fields on the Bott-Samelson variety, and it is much desirable to have explicit formulas for these vector fields in coordinates.
In this thesis, the holomorphic vector fields in Lu’s formula for the Poisson structure Π were computed explicitly in coordinates in every affine chart of the Bott-Samelson variety, resulting in an explicit formula for the Poisson structure Π in coordinates. The formula revealed the explicit relations between the Poisson structure and the root system and the structure constants of the underlying Lie algebra in any basis. Using a Chevalley basis, it was shown that the Poisson structure restricted to every affine chart of the Bott-Samelson variety was defined over the integers. Consequently, one obtained a large class of iterated Poisson polynomial algebras over any field, and in particular, over fields of positive characteristic. Concrete examples were given at the end of the thesis. / published_or_final_version / Mathematics / Master / Master of Philosophy
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Multiple zeta values and zeta-functions of root systemsTSUMURA, Hirofumi, MATSUMOTO, Kohji, KOMORI, Yasushi 06 1900 (has links)
No description available.
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On Witten multiple zeta-functions associated with semisimple Lie algebras IITsumura, Hirofumi, Matsumoto, Kohji, Komori, Yasushi 05 1900 (has links)
No description available.
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On irreducible, infinite, non-affine coxeter groupsQi, Dongwen. January 2007 (has links)
Thesis (Ph. D.)--Ohio State University, 2007. / Title from first page of PDF file. Includes bibliographical references (p. 51-52).
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A Combinatorial Proof of the Positivity of the Lusztig q-Analogue of Weight Multiplicity for Rank 2 Lie AlgebrasGillespie, Jason Michael 09 December 2003 (has links)
We prove the positivity of Lusztig's q-analogue of weight multiplicity in a purely combinatorial way for rank 2 Lie algebras. Each summand in the polynomial can be interpreted as a linear combination of positive roots. We prove that all negative coefficients are cancelled in the polynomial. Further, the analysis of the root systems allows us to state formulae for every coefficient in Lusztig's q-analogue for rank 2 Lie algebras. / Ph. D.
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Zeta and L-functions and Bernoulli polynomials of root systemsKomori, Yasushi, Matsumoto, Kohji, Tsumura, Hirofumi January 2008 (has links)
No description available.
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Instability in plantations of container-grown Scots pine and consequences on stem form and wood properties /Rune, Göran, January 2003 (has links)
Diss. (sammanfattning). Uppsala : Sveriges lantbruksuniv., 2003. / Härtill 4 uppsatser.
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