Last Updated：2025/12/06

(mathematics) A result giving an explicit description of the universal enveloping algebra of a Lie algebra.

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Poincaré-Birkhoff-Witt theorem

Source Word

Poincaré-Birkhoff-Witt theorem

Proper noun

(mathematics) A result giving an explicit description of the universal enveloping algebra of a Lie algebra.

Japanese Meaning

リー代数の普遍被包含代数に関して、明示的な記述を与える数学上の定理。

In the graduate seminar, we studied the Poincaré-Birkhoff-Witt theorem and its implications for representation theory.

大学院のゼミで、リー代数の普遍包絡代数を明示的に記述する定理とそれが表現論に及ぼす影響を学んだ。

Sense（1）

(mathematics) A result giving an explicit description of the universal enveloping algebra of a Lie algebra.

the Poincaré-Birkhoff-Witt theorem

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