Results 31 to 40 of about 2,975,618 (284)
Transactions of the American Mathematical Society, Series BWe generalize the notion of a root system by relaxing the conditions that ensure that it is invariant under reflections and study the resulting structures, which we call generalized root systems (GRSs). Since both Kostant root systems and root systems of Lie superalgebras are examples of GRSs, studying GRSs provides a uniform axiomatic approach to ...
Dimitrov I., Fioresi R.
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Embeddings of root systems II: Permutation root systems
Journal of Algebra, 2009 In part I [\textit{M. J. Dyer}, J. Algebra 321, No. 11, 3226-3248 (2009; Zbl 1181.20036)] the author studied the embeddings of linear root systems over commutative rings. The present paper studies a class of embeddings of permutation root systems, with properties abstracting those of examples in part I.
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On deflation and multiplicity structure [PDF]
, 2016 This paper presents two new constructions related to singular solutions of polynomial systems. The first is a new deflation method for an isolated singular root. This construction uses a single linear differential form defined from the Jacobian matrix of
Hauenstein, Jonathan D. +2 more
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On root posets for noncrystallographic root systems [PDF]
Mathematics of Computation, 2014 We discuss properties of root posets for finite crystallographic root systems, and show that these properties uniquely determine root posets for the noncrystallographic dihedral types and type H 3 H_3 , while proving that there does not exist a poset satisfying all of the properties in type H 4
Cuntz, Michael, Stump, Christian
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Anatomical and histochemical comparison of the primary and adventitious roots of Attalea microcarpa (Arecaceae) at the initial growth stage [PDF]
Acta Amazonica, 2019 We describe the anatomical structure of roots originating from the apocole of Attalea microcarpa compared to the primary root, by means of usual methods for optical microscopy.
Marcos Melo CORRÊA +2 more
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Revista Brasileira de Ciência do Solo, 2009 Este trabalho teve como objetivo avaliar, no campo, a resposta de duas cultivares de milho em um Latossolo Vermelho, em seis níveis de compactação, quanto ao desenvolvimento do sistema radicular, bem como caracterizar a compactação do solo a partir do ...
Onã da Silva Freddi +3 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Purpose Metabolic syndrome (MetS) is a common complication in survivors of childhood acute lymphoblastic and myeloid leukemia (AL), and a major risk factor for premature cardiovascular disease, type‐2‐diabetes, and metabolic dysfunction‐associated steatotic liver disease (MASLD).
Visentin Sandrine +10 more
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High Root Biomass FOR cereal crops increases carbon sequestration in organic Arable systems [PDF]
, 2011 In agroecosystems, soil organic carbon (C) inputs come from applied manures, plant roots and retained shoot residues. Several reasons, associated with root measurements, limit current knowledge on root C input.This study aimed at evaluating root ...
Chirinda, N. +2 more
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Nitrogen forms affect root structure and water uptake in the hybrid poplar [PDF]
, 2011 The study analyses the effects of two different forms of nitrogen fertilisation (nitrate and ammonium) on root structure and water uptake of two hybrid poplar (Populus maximowiczii x P. balsamifera) clones in a field experiment.
A Clemensson-Lindell +47 more
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On Infinite Root Systems [PDF]
Transactions of the American Mathematical Society, 1989 We define in an axiomatic fashion the concept of a set of root data that generalizes the usual concept of root system of a Kac-Moody Lie algebra. We study these objects from a purely formal and geometrical point of view as well as in relation to their associated Lie algebras.
Moody, R. V., Pianzola, A.
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