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- W3141366207 abstract "We present some new constructions of Lie algebroids starting from vector fields on manifold M. The tangent bundle TM possess a natural structure of Lie algebroid, but we use these fields to construct a collection of interesting new algebroid structures. Next, we show that these constructions can be used in a more general situation, starting from an arbitrary Lie algebroid over M. In the final step, we show that after limiting ourselves to Lie algebras these formulas as a special case contain brackets well known in theory of classical r-matrices. We can think of our constructions as extending the concept of classical r-matrices to Lie algebroids. Several examples illustrate the importance of these constructions." @default.
- W3141366207 created "2021-04-13" @default.
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- W3141366207 date "2021-07-01" @default.
- W3141366207 modified "2023-10-13" @default.
- W3141366207 title "Generalization of the concept of classical <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline id=d1e3442 altimg=si7.svg><mml:mi>r</mml:mi></mml:math>-matrix to Lie algebroids" @default.
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- W3141366207 doi "https://doi.org/10.1016/j.geomphys.2021.104227" @default.
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