Lie superalgebra
generalization of a Lie algebra with ℤ/2 grading
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Lie superalgebra
Summary
Lie superalgebra ranks in the top 2% of general entities by monthly Wikipedia readership (48 views/month).[1]
Key Facts
- Sophus Lie is named after Lie superalgebra[2].
- Lie superalgebra's GND ID is recorded as 4304027-5[3].
- Lie superalgebra's Library of Congress authority ID is recorded as sh94002764[4].
- Lie superalgebra's Bibliothèque nationale de France ID is recorded as 13191745r[5].
- Lie superalgebra's IdRef ID is recorded as 03547128X[6].
- Lie superalgebra's subclass of is recorded as super vector space[7].
- Lie superalgebra's subclass of is recorded as algebra over a field[8].
- Lie superalgebra's Freebase ID is recorded as /m/01rghv[9].
- Lie superalgebra's FAST ID is recorded as 998136[10].
- Lie superalgebra's defining formula is recorded as \begin{aligned}\mathfrak g&=\mathfrak g_0\oplus\mathfrak g_1\{}[\mathfrak g_i,\mathfrak g_j]&\subset\mathfrak g_{(i+j)\bmod2}\0&=[x,y]+(-1)^{|x||y|}[y,x]\0&=(-1)^{|x||z|}[x,[y,z]]+(-1)^{|y||x|}[y,[z,x]]+(-1)^{|z||y|}[z,[x,y]]\0&=[x,x]\qquad(x\in\mathfrak g_0)\0&=[x,[x,x]]\qquad(x\in\mathfrak g_1)\end{aligned}[11].
- Lie superalgebra's Quora topic ID is recorded as Lie-Superalgebra[12].
- Lie superalgebra's nLab ID is recorded as super Lie algebra[13].
- Lie superalgebra's maintained by WikiProject is recorded as WikiProject Mathematics[14].
- Lie superalgebra's Microsoft Academic ID is recorded as 78804095[15].
- Lie superalgebra's in defining formula is recorded as \mathfrak g[16].
- Lie superalgebra's in defining formula is recorded as [,][17].
- Lie superalgebra's in defining formula is recorded as \mathfrak g_0[18].
- Lie superalgebra's in defining formula is recorded as \mathfrak g_1[19].
- Lie superalgebra's PlanetMath ID is recorded as LieSuperalgebra[20].
- Lie superalgebra's National Library of Israel J9U ID is recorded as 987007534770405171[21].
- Lie superalgebra's OpenAlex ID is recorded as C78804095[22].
- Lie superalgebra's ScienceDirect topic ID is recorded as mathematics/lie-superalgebra[23].
- Lie superalgebra's Yale LUX ID is recorded as concept/db6c9349-f744-4705-b2aa-b82f40c9a7ec[24].
Why It Matters
Lie superalgebra ranks in the top 2% of general entities by monthly Wikipedia readership (48 views/month).[1] It has Wikipedia articles in 7 language editions, a strong signal of global cultural recognition.[25] It is known by 4 alternative names across languages and contexts.[26]